ection 5.5 Nonhomogeneous Question 12, 5.5.51 Undetermi Part 2 of 2 Use the method of variation of parameters to find a particular solution of the following differential equation.
y^('')+4y=sin5x
To use the method of variation of parameters, setup the determinant needed to calculate the Wronskian.
W=|[cos2x,sin2x],[-2sin2x,2cos2x]|
The particular solution is
y_(p)(x)=-(1)/(21)sin5x
.

Question

ection 5.5 Nonhomogeneous Question 12, 5.5.51 Undetermi Part 2 of 2 Use the method of variation of parameters to find a particular solution of the following differential equation.

y^('')+4y=sin5x

To use the method of variation of parameters, setup the determinant needed to calculate the Wronskian.

W=|[cos2x,sin2x],[-2sin2x,2cos2x]|

The particular solution is

y_(p)(x)=-(1)/(21)sin5x

.

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