What is the family of solution for the differential equation below? (1 point) dy 8sin4x dx a. y=- 4cos4x + C b. y= - 2cos4x + C с. у%3D 2сos4x + C d. y= 4cos4x + C

Q: 2. Show that y = e-6t satisfies the differential equation y" – y – 42y = 0.

A: We have to verify that y''-y'-42y=0 when y=e-6t. We know that d2ydt2=y''dydt=y'de-atdt=-ae-at So…

Q: Select the general solution to-the differential equation: y = 3x y 1 y = Vx3 + C y = e3z3 y = Cez 1…

A: Given Differebtial Equation,  y'=3x2y dydx=3x2y

Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?

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Q: What is the particular solution to the differential equation = (x – 1)(1 y) with the initial…

A: givendydx=(x-1)(1-y)we will solve this equation by Variable separable method

Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

Q: 9. What is the particular solution of the differential equation below? y" – 6y' = 2 – 8y, y(0) = 0,…

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Q: Let y' (x) = V1– y²(x) be a differential equation. What is a solution?

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Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

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Q: 2x-y? xy? 3- ()dr – ()dy = 0 is exact differential equation. True False o o

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Q: 1. ax дхду?, 2. dy + 2x+ y = x² + 2 3. дхду = y

A: Due to our guidelines, we can solve only three subparts plzz reupload rest question by mentioning it…

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x a. None of…

A: Homogeneous Linear Differential Equation with Constant Coefficients: A homogeneous linear…

Q: Find the particular solution to the differential equation: 2(y')² ( y" = 1- when +3) x = 0, y = 1…

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Q: A heart pacemaker consists of a switch, a battery of constant voltage Eo, a capacitor with constant…

A: Explanation  we have given the voltage change E across the heart satisfies the linear differential…

Q: The differential equation y' = e3x+Iny is linear and separable. %3D Select one: True False

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Q: What is the general solution to the differential equation 2 dt S - - - 5t3s3 ? t = s²(C – t*) t =…

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Q: The differential equation formed by eliminating arbitrary constants a ,b and c: y = ar³ + bx + cr +…

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Q: (6) Show that the solution of the differential equation dr 3 + dy 3(y + 1) is r (y + 1)³ + c y +1 y…

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Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

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Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

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Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

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Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

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Q: What is the particular solution to the differential equation dy/dx=xy2 with initial condition y(2) =…

A: To find the particular solution

Q: The Equilibrium Value for the differential equation y = (y – 4)²(y) a are O 4,0 O 4 O -4,0 O 4, -4

A: To find the equilibrium value of y ' = (y - 4)2( y ) Equilibrium Value :  Is that value where f(y0)…

Q: What is the particular solution to the differential equation - xy? with the initial condition y (2)…

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Q: (D – 3D + 2) y = (1+ e-")?

A: I am attaching image so that you understand each and every step.

Q: What is the general solution to the differential equation (3x+2y+4)dx+(3x+2y-3)dy=0?

A: An equation which involves the derivative or differential coefficient is called differential…

Q: Match the differential equation with it's particular solution form. | y’’ – 6y' + 9y а. Ate 2t |y'’…

A: We have to match the following differential equation with it's particular solution form.

Q: y(4x + y) dx - 2(x² - y) dy = 0

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Q: ds What is the general solution to the differential equation 2 = 5t's³? %3D dt

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Q: Suppose dr - =4sin(2x) and y= -2 when *=. what is the particular solution to the given differential…

A: In this question, we need to find the particular solution to the given differential equation.

Q: 4. (4D2 + 4D + 1)y = 7e-* + 2 when y(0) = 1; y'(0) = 3

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Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: verify that given situation is solution of the differential equation. y' + 4xy = 0, y = 25e−2x2

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: Show that, if y, is a solution to a differential equation of the form y"+P(x)y' + Q(x)y = 0, then, a…

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Q: Show that y = ce* + (x + 2)e²x is a general solution for the differential equation y' - y = (x +…

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: 2xydx – (y² – x²)dy = 0 ; x= 4, y = 0

A: Note the following exact differential equation : x dy+y dx=dxy 2xy dx+x2dy=dx2y .

Q: What is the particular solution of the differential equation y" + 2y" – 5y' – 6y = 5e?? Particular…

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Q: Show that (y^2-1)^2=Ax is the general solution of the differential equation 4xy dy/dx =-1+y^2.

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Q: = Form the differential equation by eliminating arbitrary constants : y = ax +0x , .3

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: Obtain the differential equation belovw. y = Ce* + Cze-3x O y-3y +2y = 0 O y- 3y-2y 0 O y" +2y +3y =…

A: y=C1ex+C2e-3x

Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: What are two linearly independentsolutions of the differential equation y''-5y'-6y=0

A: We have to find linearly independent solutions of the given differential equation.

Q: xydx + 2(x2 +2y)dy=D0; when x= 0, y= 1

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Q: The differential equation (2x' - xy - 2y+3 dx- (x²y+2xdy = 0 is exact because OM ON

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