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Find a general solution of y" + 4y = 0.

User Jason Chen
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1 Answer

5 votes

Answer:


y(x)=C_(1)cos2x+C_(2)sin(2x)

Explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:


y(x)=C_(1)cos2x+C_(2)sin(2x)

User Richard Clayton
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