Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for...

Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for
the following cases: (i) f(x) = 1 (ii) f(x) = x2 (iii) f(x) = e−x sin2x (iv) f(x) = e−x (v)
sin2x

Expert Solution

Now we will see rules for writing solution of homogeneous equation.

Now, consider given problem..

Colby Messinger answered 2 years ago

find the general solution of y'''-4y''+5y'=e^x

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method...

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method of Frobenius and power series techniques.

Find the general solution to the ODE y'' − y'/x − 4x^2y = x^2 sinh(x^2)

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one....

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In the method of variation of parameters, find v1, where v1e2x + v2y2 + v3y3 = yp is a particular solution to the inhomogeneous equation. Use the method of variation of parameters Please explain and show work, thanks!

Find the general solution of the differential equation (x + 2y) (dx-dy) = dx + dy.

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′...

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′ + y = et/(1 + t2)

differential equation y'=dy/dx = -(3xey+2y)/ (x2ey+x). find the solution

Find the general solution to the differential equation. y'=xy/x−4 y(x)=C⋅ ...

A. Find a particular solution to the nonhomogeneous differential equation y′′ + 4y′ + 5y =...

A. Find a particular solution to the nonhomogeneous differential equation y′′ + 4y′ + 5y = −15x + e-x y = B. Find a particular solution to y′′ + 4y = 16sin(2t). yp = C. Find y as a function of x if y′′′ − 10y′′ + 16y′ = 21ex, y(0) = 15, y′(0) = 28, y′′(0) = 17. y(x) =

Find the general power series solution for the differential equation 2x^2y''-xy'+(x^2 +1) y =0 about x=0...

Find the general power series solution for the differential equation 2x^2y''-xy'+(x^2 +1) y =0 about x=0 (Answer should be given to the x^4+r term)

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