Question

4x^{2}y'' + y = 0

y = x^{1/2} lnx is a solution. Find the general
solution.

Answer #1

Find a general solution to the following differential
equation:
4x2y''-3y=0

find the general solution to the ODE: y''+yx^2 =0

given that y1=xcos(lnx)and y2=xsin(lnx)form a fundamental set of
solutions to x^2y''-xy'+2y=0,find general solution to
x^2y''-xy'+2y=xlnx

Find the general solution of
(D^2 + 6D + 13)y=0

find the general solution to x^2*y''+6xy'+6y=0

Find the general solution of the equation: y''+6y'+9y=0 where
y(1)=3 y' (1)=-2 and then find the particular solution.

Find the general solution of the ODE:
x2(y′)2 + yy′(2x+y) + y2= 0

Find the general solution of the equation:
y" + 4y = t^2 + 3e^t
salisfying y(0) = 1 and y'(0) = 0

1. Find the general solution to the differential equation y''+
xy' + x^2 y = 0 using power series techniques

y"+8(xy'+y)=0
Verify that yı = exp(-8x²/2) is one solution
find the general solution in the form of an integral.

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