Question

find general solution y’’ + y’ + y = xsinx

Answer #1

Find the general solution of x2u” – 2xu’ – 4u = xsinx

Find the general solution:
y' = x - y

Find the linear approximation L(x) to y = xsinx for values of x
near a = π

Find the general solution of the equation
• y″+ y = cosx
i) The homogeneous solution yh(x) and yp(x)
ii) The general solution using the initial conditions y(0)=1 and
y'(0)=1

Find a general solution to the differential equation.
y''-6y'+9y=t^-7e^3t. The general solution is y(t)=

Find the general solution to y''+ y' = e^x + x

Find the general solution to the differential equation: y’’ – 6
y’ + 13y = 0
Find the general solution to the differential equation: y’’ +
5y’ + 4y = x + cos(x)

4x2y'' + y = 0
y = x1/2 lnx is a solution. Find the general
solution.

Find general solution of the equation:
y''' − y'' − y' + y = 2e−x + 3x2

For each of the following equations, find the general
solution
y''+y=tcost

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