8y5 хеу) dy + y dx = 0

Q: Solve the following differential equation by using integrating factors. y' +y = 8x, y(0) = 48

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Q: Solve the given differential equation by separation of variables. dy ху + 4y - х- 4 dx ху — 9у + х —…

A: Separation of variables...

Q: 4. dx + (x- y + 2)°dy = 0

A: Solution is given below...

Q: 6.) (y In xy + 3x²) dx + x In xy dy = 0

A: First we need to simplify the given equation then solve it by standard formula. Following formulas…

Q: (8x²y + 3x³ + 6y³) dx + x(x² + 3y²) dy = 0

A: Let's find.

Q: Solve the given differential equation by finding an appropriate integrating factor.   6xydx +…

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Q: 2y (4x — у) dx + (2х? — Зху — у3) dy %3D0

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Q: Solve the following differential equation using variation of parameter. 1 y" + 3y' + 2y 1+ et

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Q: Solve the following differential equations by determining the integrating factors. 2y(4x − y) dx +…

A: 2y(4x-y)dx+(2x2-3xy-y3)dy=0M=2y(4x-y)N=2x2-3xy-y3My=8x-4yNx=4x-3ySince My≠Nx, Therefore, non exact…

Q: determine the roots of the indicial equation of the given differential equation. Q. 4x2y′′+xexy′−y…

A: We can rewrite the given equation as: The indicial equation is given by: We solve this to get…

Q: Solve the following differential equation using Method of Variation in Parameters y" - 2y' + y =…

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Q: Solve the following differential equation Integrating Factor by Linear Equations: dy/dx = 1/x+y2

A: We have given a differential equation, dydx = 1x + y2 ⇒ dxdy = x + y21 = x + y2 ⇒ dxdy = x + y2 ⇒…

Q: Solve the following differential equation using Method of Variation in Parameters y" + 4y = 8 sec 2x…

A: To solve the following differential equation using variation of parameters

Q: 6. yi+ yž = 1, when x = 0, y = 4 dx

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Q: Solve the given differential equation correctly by using an appropriate substitution y'=y(xy2 + 5)…

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Q: |dx = 0

A: We have to solve the differential equation by finding the integration factor.…

Q: Solve the following Second Order Differential Equation y" + 2y' + y = sin (2t) %3|

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Q: Solve the following differential equation by using integrating factors. y' = 7y+ x2

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Q: Solve the following differential equation by using method variation of parameters.    y'' + y' - 6y…

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Q: y' - (2xy - x³ ) = 0 %3D

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Q: x³y5 dx + (x*y* + 1) dy = 0

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Q: solve the following differential equation using the separation of variable technique and give the…

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Q: Solve the following differential equations (a) y/ = (b) = %3D ytev

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Q: (-14х3у - Зе-У — 1) dx + 2x(3е-У — 2х3) dy %3D 0

A: -14x3y-3e-y-1dx+2x3e-y-2x3dy=0                                (1) Comparing to standard equation…

Q: (y – 2)dx = (y – 3x)dy

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Q: solve the following first order ordinary differential equation using an integrating factor method.…

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Q: Solve the following differential equations of · yy'+ y´ = x; Linear Differential Equation

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Q: Solve the following second order nonhomogeneous linear differential equation. y''+4y=0 y(0)=-2…

A: y''+4y=0 find roots r2+4=0 r2=-4 r=±-4 r=±2i r=2i, r=-2i for complex roots general solution is…

Q: (y – 2)dx = (y – 3x)dy

A: The solution is given as

Q: 3.) (–14x³y – 3e-y – 1) dx + 2x(3e-y – 2x³) dy = 0

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Q: . Solve the following differential equation by using variation parameters method: y " + 6y' + 9y = 2…

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Q: Solve the following differential equation using Method of Variation in Parameters y" + 4y = 4 csc 2x…

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Q: Solve the following homogeneous first order differential equation: 3xy =y² +3x2 dy dx

A: Use the substation and solve the given differential equation.

Q: Solve the following higher order differential equation given that y() = 0, y'(품) %3D2 dy dz? +y = 0

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Q: Solve the following differential equations by finding integrating factor dy --y = e2x dx

A: We need to solve the given differential equation using integrating factor method.

Q: solve the following Second Order Differential Equation  y''+ 4y = 0

A: By using axillary equation

Q: 4rdx + (21*y +Зу)dy 3 0.

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Q: y(xy – 2e*) dx + (2x²y + y² – 6e*) dy = 0

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Q: b. y = C1e²*cos3x + Cze²*sin3x %3D

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Q: Solve the following non-linear differential equation by using appropriate substitution. dw 2w + dt -…

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Q: Solve the following differential equations by determining the integrating factors.   (−14x^3y −…

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Q: Solve the given differential equation by finding, in-imanapi 12xy dx + (4y + 18x²) dy = 0 Sectioner,…

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Q: Solve the following differential equation using initial values. 1/2.yn+y'+y=0 ; y(0)=2 ,…

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Q: Solve by variation of parameters the following differential equations : 1. y" + 9y = tan 3r

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Solve the given differential equation by using an appropriate substitution dy 3x+2y y (-1) = –1 dx…

A: The solution is given as

Q: Solve the following differential equation with the method of undetermined coefficients y" + y' – 6y…

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Q: Solve the following differential equation by the method of Variation of Parameters: x" + 49x csc…

A: The given differential equation is;  x''+49x=csc2(7t).

Q: (4 - 3xy - 3y) = (x+1)² y'

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Q: 8.) x³y5 dx + (x+y* + 1) dy = 0

A: