(Vx² + y² - y -) dx + GVx? + y² – 1) dy -2 0 =

Q: (y3 – 3y + 2)V9+ x²dx + x²dy = 0

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Q: The solution of the differential equation y" – xy' +y = 0 is y = c¿e¬* + c2e2x This option

A: Given differential equation is y" -xy' + y = 0

Q: Determine the form of a particular solution for the differential equation. Do not solve. y" - 10y'…

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Q: y' - 5y = -xy, y(2) = 1 %3D

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Q: Determine the type and find the solution of the differential equation ry" - 2ry + 2y =r %3D

A: This is homogeneous linear differential equation.

Q: y'dy-(4y + 48x kdx = 0

A: Let us consider the linear non homogenous  first order differential eqaution of the form  dydx+p(x)…

Q: A particular solution of the differential equation ,"-3y'-4y = e* 4x 1S , = xe* /5

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Q: dx -2xcsc 2y – 2x³cos 2y dy sec 2y

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Q: (3x2-2xy+3y2)dx = 4xydy Find the general solution by determining the type of differential equation.

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Q: Solve the differential equation y' =7x - 4 y Using Runge-Kutt

A: Given,            y'=7x2-4y,   x=0.1, 0.2, 0.3,  . . . , 0.8

Q: Determine the value of k that will make the equation exact and solve the resulting differential…

A: Solution :-

Q: solve the given differential equations. (3x-3y-2)dx-(x-y+1)dy=?

A: Given: 3x-3y-2dx-x-y+1dy=0 for finding solution of given differential equation, first we find dydx…

Q: (x- 2y)dx+(2x+y)dy=0 Find the solution of the differential equation

A: Given differential equation is x−2ydx+2x+ydy=0....1 We have to find the solution of the given…

Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: Determine the degree of this differential equation: + ( - 3+y = 9 a²y ... dx3 dx2 dx None of the…

A: We know that dydx=y' and d2yd2x=y'' and so onThe given differential equation can be written as:…

Q: The differential equation y' = Vx+y+1–1 has the solution:

A: We need to solve the differential equation given by y'=x+y+1-1 The solution is given below.

Q: (2y³ + 4) dx = (6-- 2ay') dy 2ху?) dy

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Q: Find the solution of the given differential equation. x²y-y ; y (3) = -1 %3D y+1

A: Given,dydx=x2y-yy+1,dydx=y(x2-1)y+1y+1ydy=(x2-1)dxTaking integration on both…

Q: The solution of the differential equation y" = 2x(y') is Select the correct answer.

A: Given differential equn is ,            Y11=2xY12     Put , P=Y' , then ,            P'=2x p2    ⇒…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find a particular solution to the differential equation Ур = -6y" - 5y'-y = -(t² + 2t + 2e²t).

A: To find a particular solution to the differential equation.-6y''-5y'-y=-t2+2t+2e2t

Q: Given the differential equation A y = 2x² + 11 ® y = 2x² - 11 y = 2x + 11 Dy=x²-11 dy -=4x. Find the…

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Q: Find general solutions of the differential equation       3y+x^4y'=2xy.

A: This can be solved using the standard format: dy/dx + P(x)y = Q(x)

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: one solution of the differential equation is given. Find the general solution. 3y3 -2y"+12y'-8y = 0;…

A: 3y3 -2y"+12y'-8y = 0; Auxiliary equation will be: 3m3 - 2m2 + 12m - 8 = 0 The general solution will…

Q: Find general solutions of the differential equation      3y^2y'+y^3=e^(-x)

A: Consider the provided differential equation,

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

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Q: solve the differential equation: y2dx+(x2-xy-y2)dy = 0

A: Given:    y2dx+x2-xy-y2dy=0

Q: The suitable form of the differential equation y" + 2y'-3y = 5e2t, is Y = Aje2t, then the value of…

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Q: 2 Px = 2 tan y + P³ cos² y Find the solution of the differential equation.

A: Equations of the First Order But Notof The First Degree

Q: y +v3) æ + cz = c¡ e(-2 C2 e(-2-v3).

A: In order to obtain the differential equation consider the coefficient of x in power of e as roots of…

Q: Determine the type of differential equation and solve y2dx - x(2x+3y)dy = 0

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Q: Solve the first-order linear differential equation  y'-3x2y=ex^8

A: From the given problem:   y'-3x2y=ex8ordydx-3x2y=ex8   As we know that the standard form of linear…

Q: Determine the form of a particular solution for the differential equation. Do not solve. 2t y'- 10y'…

A: Find the homogeneous solution.

Q: 1. (x² + 1)dx + x²y²dy = 0 %3D

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Q: Solve the given differential equation by undetermined coefficients. y"' – 3y" + 3y' - y = x - 3e*…

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Q: xdy-[y+xy3(1+Inx)]dx=0 Find the general solution of the differential equation.

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Q: solve the given differential equation. (2x-3y+2)dx + 3(4x-6y-1)dy =0

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Q: 2 Px = 2 tan y +P³ cos² y Find the solution of the differential equation.

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Q: Find the solution of differential equation (Dª - 6D³ + 3D² - 12D + 4) y = 0

A: Solution is here

Q: solution

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Q: Solve the differential equation y´´´-3y´´+3y´-y=t2et ; y(0)=1, y´(0)=0, y´´(0)=-2

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Q: One solution of the differential equation -y" +7y'- 10y = 0 is y = e. A second linearly independent…

A: Given the differential equation-y''+7y'-10y =0

Q: Solve the differential equation y' - 3y = δ(t-1), y(0) = 0

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Q: The solution of the differential equation (x³ + 3xy²)dx+ (y³ + 3x?y)dy= 0 is

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Q: 1 yy" + (y')² = yy' y(0) = 1, y'(0): %3D 2

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Q: y' +=y = -x°y³, y(-1) = 2 6.

A: See the attachment

Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

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Q: y' - 5y = -xy, y(2) = 1

A: