Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

Q: Find the general solution of the differential equation y′ = √x y

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Q: Find the general solution of the differential equation. (Use C for any needed constant.) y' = 10VX y…

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Q: Find general solutions of the differential equation    (x+y)/y'=x-y

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Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: ху xy' = y(1+ln2)

A: The given differential equation is  xdydx=y1+lnyx

Q: Find an energy function for the differential equation y"=-y3

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Q: By using substitution of x-e' and t = ln(x), find the general solution of the differential equation.

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Q: Find the general solution of the differential equation. y′ = arctan x/ 2

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Q: Solve for the particular solution of the non-homogeneous differential equation. 1. y''=4

A: Solution :--

Q: i. Determine the general solution of the above differential equation.

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Q: What is the particular solution to the differential equation * + (1 + x)y = 12 with y 0 and = 0 when…

A: The solution is given as

Q: Find the general solution of the first order differential equation (x+2) y′ + 4y = (3x + 6)-2 lnx.

A: Given: x+2y'+4y=3x+6-2lnx for finding solution of given differential equation, first we convert it…

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: The differential equation formed by eliminating arbitrary constants a and 6: y = ax + bx+9 is

A: Given that

Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: Find the general solution of the first-order linear differential equation y′ + 3y = e3x for x >…

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Q: Obtain the solution of the differential equation y′ = (x + y)^2

A: Given differential equation is: dydx=(x+y)2                       (1) Let us assume (x+y)=t…

Q: Find the general solution of the differential equation y′ = tan3 3x sec 3x

A: Given: y' = tan3(3x)sec(3x) =>dy/dx = tan3(3x)sec(3x) =>dy = tan3(3x)sec(3x) dx

Q: Find the general solution of the first-order linear differential equation y′ − y = 10

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Q: Solve for the General Solution of the given Differential Equation y' = y – xy³e- -2x

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Q: Find the solution y(t) by recognizing the differential equation

A: Given differential equation - y' = 6300-yWe can write it as - dydt = 6300-ydy300-y = 6dtIntegrating…

Q: Solve the given differential equation by separation of variables. xdx = 2y y =

A: Use Separation of Variables to solve the given differential equation xdydx=2y

Q: Find the particular solution to the differential equation. 2y2 dx = 9x2 dy when x = 2, y = -3

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Q: Find the solution to the differential equation dx 8xy which passes through the point (0,e). Express…

A: We will solve the equation by method od separation of variables.

Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Find the general solution of the differential equation. y′ = ln x

A: The given equation is y'=lnx   By parts rule used: ∫udv=uv-∫vdu

Q: Find the solution for the second order differential equation y-4y = x sinh x.

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Q: Solve the given differential equation by variation of parameters. y'' − y' = xex

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Q: y' = y + y3

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Q: Find the solution to the differential equation dy/dx=19xy/(lny)4 which passes through the point…

A: Separate the variables than solve the differential equation by integrating both sides.

Q: Find the general solution of the differential equation y′ = x(1 + y)

A: Given differential equation - y' = x1+ydydx = x1+ydy = x1+ydxSeparating variables - dy1+y =…

Q: y' = (4x + y)²

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Q: Solve for differential equation  (y2-xy)dx+x2dy=0

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Q: y = Clx+ C2e

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Q: Find every nonzero solution of the differential equation y = y +2y°.

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Q: ylv – y" = 4x + 2xe-*

A: the

Q: Find the general solution of the differential equation using any method          y′ = √( 1 − cos )

A: Find the generla solution of given differential equation y'=1- cos x

Q: 2. Solve the differential equation- + x, with y(1) = 1.

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Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

Q: Find the general solution of the differential equation using any method         y′ = ln(x2 + x)

A: we have to find the solution of the given differential equation  y′ = ln(x2 + x)

Q: Find general solutions of the differential equation    (x+y)y'=1

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Q: Find the general solution of the differential equation: y′=(1+y)secx+tanx

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Q: Solve the differential equation for y= y(x) if y+2ry + 2x = 2 + 2y given the initial condition that

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Q: Solve the given differential equation by separation of variables. аy — е-У +е-4x — у exy dx

A: Solution

Q: Find the differential. Equation by eliminating the arbitrary constant  y = Ae2x + Be-2x

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Q: use the method of variation of parameters to determine the general solution of the given…

A: First calculate the complementary function.

Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y ')²

A: Let y' = t Then , y''=dtdy  to find the value of y, integrate y' =t⇒∫dy =∫t. dt⇒      y =t22  So the…

Q: Solve Bernoulli's Equation y(2xy+e )dx-e'dy 0 to reduce into Linear 01 Form of Differential…

A: As per bartleby expert policy only one individual question is to be answered. Kindly repost…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.