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Mathematics 13 Online
MARC:

2nd order ODE Variation of Parameters

MARC:

Solve the following differential equation. \(y''+4y=tan~2x\)

MARC:

\(a=1~~~and~~~f(x)=tan~2x\)

MARC:

\(m^2+4=0\) \(m^2=-4\) \(m=\pm2i\)

MARC:

\(y_h(x)=Acos2x+Bsin2x\) \(y_1(x)=cos2x~~~,~~~y_2(x)=sin2x\)

MARC:

1 attachment
MARC:

\(w=cos2x(2cos2x)-sin2x(-2sin2x)\) \(w=2cos^2x-2sin^22x\)

sweetJ12:

yeah you are correct so far

MARC:

I was trying to find \(u(x)\) and \(v(x)\) but it looks weird a bit

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