Solve for DE y" + 4y' + 3y = cos(e^x)

Q: solve for y  2xy^2 + 4 = 2(3-x^2y)y', y(-1) = 8

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Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

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Q: find y'. (show all the steps please) cos(xy) = x-y^2

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Q: Solve y''-2y'+2y=ex+cosx

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Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: solve it y''+3y'+2y=cos(e

A: The given differential equation is

Q: (7) Find if \.Y =ln12- Cosx) , 2- Y= %3D

A: Calculate dydx. 1. y=ln 2-cos x. Derivate with respect to x by applying chain rule: dydx=dydududx.…

Q: Solve the following Clairaut equation   xy'-y=e^(y')

A: We will start by differentiation the given equation to get simplified ode

Q: Solve the first order o.d.e dy/dx=(1+y^2)e^x

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Q: Solve y'-y cosx = cos x

A: We now solve the differential equation, y' -ycosx=cosx . This is a first order homogeneous equation.

Q: y'' + 4y' = sin^2 x

A: Given differential equation is: y''+4y'=sin2x Solution of differential equation is sum of…

Q: Solve (e' +1) cos x dx +e'sinxdy = 0

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Q: find where f'(c)=0 f(x)=-cos4x

A: Given, function

Q: Solve y'' + y = sec2 x

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Q: Solve  3(1 + t2)y' = 2ty(y^3 - 1)

A: The given differential equation is: 3(1+t2)y'=2ty(y3-1)...(1)

Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: 3. Solve the following differential equation using the Method of Reduction of Order. Use…

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Q: sinx cos'x dx

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