y = C,e3x csc3x + 2C2e-2x sin3x + Cze* tan3x —2х

Q: solve the differential equation using bernoulli's equation dy + ydx = 2xy2exdx

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Q: Solve the differential equation. y′ = x3 — 2xy ;  when x = 1; y = 2

A: Given differential equation is: dydx+2xy=x3;  y(1)=2 P=2x; Q=x3 Given differential equation is first…

Q: Solve the differential equations using the substitution suggested by the equation. (2x + y)dx -3(2x…

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Q: Solve the differential equation (cosxcosy - cotx)dx - sinxsin ydy = 0

A: Solution of differential equations

Q: Write a fifth-order differential equation that has the following general solution: Cез* + Сzе-2х +…

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Q: Solve the differential equation by using the separable equation method 2 dx -sin 2t = 3 7 dt

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Q: Solve the differential equation for y in terms of x 1) y' + xy = 2x

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Q: Solve the differential equation of the given function by elimination of arbitrary constants y =…

A: we  need to find the differential equation for the given solution by elimination of arbitrary…

Q: 0 = 2e³i – e2', do - + 30 = -2e²' dt - dr?

A: To determine whether the given function is a solution to the given differential equation.θ=2e3t-e2t,…

Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: Determine whether the differential equation -dx = e* is x' +1 separable or not. If yes, solve it.

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Q: Solve the differential equations using the substitution suggested by the equation. (x + 2y - 1)dx +…

A: Given the differential equation is (x + 2y - 1) dx + (2x + 4y - 3) dy = 0; when x = 2 and y = -1.

Q: Solve the differential equation 1. x³y" – 2a²y" + 6xy' = ,2, x(2 ln x + 1). -

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Q: Solve the given differential equation by undetermined coefficients. у" - бу" %3D 2 - cos(x) y(x) :

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Q: Solve the given differential equation using indeterminate coefficients y''' - 6y'' = 3 - cosx

A: The given differential equation is y'''-6y''=3-cosx. Its auxiliary equation is m3-6m2=0. Solve it as…

Q: Solve the differential equation (x2y-2xy2)dx=(x3-3x2y)dy

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Q: Find the differential equation by eliminating the arbitrary constant  sin-1x + sin-1y = c

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Q: Solve the differential equation  2x+y2+2xyy′=0.     (1)

A: Exact differential equation:  Mdx + Ndy = 0 is called exact differential equation if ∂M∂y=∂N∂x And…

Q: Form the differential equation by eliminating the arbitrary constant A, B from y=Ae?x+Be7*

A: We have to form differential equations

Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: Solve the differential equation. (Assume the independent variable is x.) y" + 3y = 0

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Q: Give the differential equation that has as its general solution. y = C₁ sin(2x + C₂)

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Q: y= C,sin2x+ C2cos2x

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Q: 16. х" — 7x'— 51 — 3.

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Q: 2ydx = (x2 – 1)(dx – dy)

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Q: Solve the differential equation by undetermined coefficients y" – y' = -3 а.

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Q: Solve the differential equation by variation of parameters y''' + 5y'' -2y' -24y = 5 + 4*exp(2x)

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Q: Solve the differential equation by undetermined coefficients: 4y" – 4y' – 3y = cos 2x. |

A: 4y''-4y'-3y=cos 2xGeneral solution:y=yc+ypFor yc4y''-4y'-3y=0Auxiliary equation:4m2-4m-3=0m=4±16+488…

Q: 2y' – 5y = sin2x – 7cos2x

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Q: Solve the differential equation by variation of parameters. 1 y" + 3y' + 2y = 6+e* Show all your…

A: Use the procedure of method of variation of parameters to solve this problem.

Q: Form the differential equation for the function x+2y=a sin3x-bcos3x

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Q: Solve the given differential equation by undetermined coefficients. y" + 5y = -180x2e5x Y(x) =…

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Q: у" — Зу" + Зу' — у %3D х — 4е* -

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

Q: Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = e* sec x

A: The objective is to solve the differential equation by variation of parameters 2y''-4y'+4y=ex sec x

Q: Solve this exact and linear Differential equation in y.

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Q: Solve the differential equation (2x3 - x3) dx + 2xy2 dy=0 using 2 methods, either Exact equation,…

A: Given differential equation is 2x3-x3dx+2xy2dy=0. This can be written as, x3dx+2xy2dy=0 Here the…

Q: Solve the differential equation for the motion of the spring 384x''+1152x'+864x=0   if x(0)=-2 and…

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Q: y" – 5y' + 6y = -3Sin (2x)

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Q: 5y*y' = x?y' + 2xy

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Q: Solve the differential equation using linear coefficient  (5x+2y+1)dx + (2x+y+1)dy =0

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Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''-2y'+1=(x+1)e2x

A: The given differential equation is: y''-2y'+y=(x+1)e2x

Q: y = C1e2" sen(x)+ C2e²" cos(x) +x² + C3x + C4.

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Q: x²(y+: x(2y+

A: The differential equation is x2y'=4x2+7xy+2y2. Divide by x2 on both sides, y'=4+7yx+2yx2 Substitute…

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: solve the differential equation using the substitution method. (3siny-5x)dx+2x2cotydy=0

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Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…

Q: -2у y+2xyy' = e" y 'y'

A: Please see the answer in step 2