What is the solution for y^{''}+n^2y=0,y(0)=c,y^'(0)=v ?

The solution for y^{''}+n^2y=0,y(0)=c,y^'(0)=v is y=ccos(nt)+(vsin(nt))/n

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y^{''}+n^2y=0,y(0)=c,y^'(0)=v

y^{^{''}} + n^{2} y = 0, y (0) = c, y^{^{'}} (0) = v

y = c cos (n t) + \frac{v sin ( n t )}{n}

Solution steps

y^{''} (t) + n^{2} y = 0

Solve linear ODE:

y = c cos (n t) + \frac{v sin ( n t )}{n}

y = c cos (n t) + \frac{v sin ( n t )}{n}

What is the solution for y^{''}+n^2y=0,y(0)=c,y^'(0)=v ?
The solution for y^{''}+n^2y=0,y(0)=c,y^'(0)=v is y=ccos(nt)+(vsin(nt))/n