a) Find the general solution of the given equations of the line (2x - 5y + 10)dx+ (7x + 3y - 8) = 0

Q: Find the general solution for the equation: dy=(x^2+x)y^3dx

A: Given:          dy=x2+xy3dx

Q: find the general solution of the given equation. 4 d2y/dx2 - 12 dy/dx + 9y = 0

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Q: 1 Find the general form of solution of the first order equation U + 2u, = (x – 2t)u + 2t2 + 3tx -…

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Q: Find the solution of the homogenous equation: 2(2x2+y2)dx-xydy=0

A: The given differential equation is  2(2x2+y2)dx -xy dy=0

Q: Find the general real solution of d3y/dx3 -dy/dx = x2 + 4 +e4x

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation…

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Q: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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Q: In the given question , find d2y /dx2 implicitly in terms of x and y :-   xy - 1 = 2x + y2

A: In the given question , find d2y /dx2 implicitly in terms of x and y :- xy - 1 = 2x + y2

Q: Obtain the general solution to the equation. (x²+2) dy dx + xy-7x=0 The general solution is y(x)=,…

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Q: Find the solution of the equation 3U,-5U, =0 satisfying the condition U(0, y) = sin y

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Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: solve the following system. dx1/dt= 2x1-5x2-cost dx2/dt= x1-2x2+sint a)by using the method of the…

A: Since you have posted multiple questions but according to guidelines we will solve the first…

Q: 1. Solve the following equations: c) (x² - 4xy - 2y²) dx + (y² + 4xy - 2x²) dy = 0

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Q: The equation y² = cx constitutes an implicit general solution to the DE: Select one: а. 2yy' = x O…

A: The differential equation corresponding to the general solution y2=cx has to be found out.

Q: Find the general solution of the given equation y" + y = 0

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Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

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Q: fin the general solution of (x+2y-4)dx - (2x+5-y)dy=0

A: Please see the below picture for detailed solution.

Q: 8. Obtain the general solution to the equation ( Dª - 3D³ + 5D² - 9D + 6 )y = 0 a. y = cie* + c2e2x…

A: If the roots m1,m2,...,mn of the Auxiliary equations are distinct and real then the complete…

Q: Show that the solution of the equation d3y/dx3 +3αd2y/dx2 +3α2dy/dx+ α^3 y = 0 is y…

A: According to the given information, First it is required to show the solution of given differential…

Q: eУ + 2ху'- у %3D0

A: Given equation is, ey'+2xy'-y=0y=ey'+2xy'...1 Multiplying by y in equation (1), we get…

Q: Problem 3 Solve d² +3 d +3dy - 4y dx² dx = x²

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Q: Obtain the general solution of the following equations:   (x-4y-9)dx-(4x+y-2)dy=0

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Q: Consider the problem y' =1-2.xy, y(0) = 0 . %3D Find the solution of this D.E.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the general solution of the lines Зу + 2 y - 2 )dx + ( 2x -+ 1 )dy = 0 4 2

A: Let us consider the given differential equation f(x,y)dx+g(x,y)dy=0 Using substitution,  x=X+hy=Y+k…

Q: 2 4. Find the general solution of (x + y') dx = А. -3x3 + 2y) %3D Сх В. 7x3 + 2y %3D Сх Зху" dy С.…

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Q: Obtain the general solution of the following equations:   1.) y(y3-x)dx+x(y3+x)dy=0

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Q: Find the solution to the Bernoulli Equation. 2x³y = y(y? +3x?)

A: The solution is given as

Q: Consider the equation y' + 5y = 2. Show that the function o given by: %3D 2 $(x) is a solution,…

A: Given y'+5y=2 We have to find ∅x

Q: Observe that y = x is a particular solution of the equation %3D 2x²y" + xy' – y = 0 and find the…

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Q: 7. Find two solutions to: y" – xy – y = 0

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: Find the general solution of 2y"+3y+y=3sin.x+xe"

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Q: Solve the Cauchy euler equation d²y + 6x 2-6y = 3 + Inx3 dx x3 d3y 3x2 dx2 dy dx3

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Q: 1. Select all the equations on which the point (10,0) lies. A. 5x +2y: 15 B. 2x +4y = 20 %3D C.x +6y…

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Q: What is the solution of (2x - y)dx + (4x + y– 6) dy = 0? а. (x+у-3)°- с (2х +у- 4)? b. (x-y+3)²=…

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Q: a. Find the general solution to the equations d²y dy 6- + 42- 2y = 3x – 2 dx² dx b. d?y dy dx² +2+…

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: d²y 4y 3e2x. %3D dx2 3.

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Q: 5. Give the graphical significance of the constant a for the equations of the form y-a(x-h)²+k.

A: We have to discuss the graphical significance of given equation.

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: Solve the Bernoulli equation   y'-2.8y=-0.28y^2

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Q: 2xy y' + 2x² x' = y² x'

A: Given: 2xyy' + 2x3x' = y2x' ⇒2xydy + 2x3dx = y2dx ⇒2xydy- y2dx=- 2x3dx

Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Solve the dff oq dy 3x寸票-5-2 %3D

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Q: g'ay-3y=(2tが)et

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Q: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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Q: Find the general solution of the lines 3y (즉 + 2-2)dx + (2x- 3 +1 )dy = 0 - 2 )dx + ( 2x - +1 )dy =…

A: x2+3y4-2dx+2x-y2+1dy=0To Find: The general solution of the lines.

Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: Find the particular solution of (d2y/dx2) = 4x3 - 2x; y' = 4/5 and y = 1 when x = 1

A: Given differential equation, d2ydx2=4x3-2x       ...(1) y'=45 and y=1 when x=1