y^{''}+y=5sec^3(x)

Lösung

y^{^{''}} + y = 5 sec^{3} (x)

y = c_{1} cos (x) + c_{2} sin (x) + \frac{5 tan ( x ) sin ( x )}{2}

Schritte zur Lösung

y^{''} (x) + y = 5 sec^{3} (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + \frac{5 tan ( x ) sin ( x )}{2}

y = c_{1} cos (x) + c_{2} sin (x) + \frac{5 tan ( x ) sin ( x )}{2}

4 y^{^{''}} - 16 y = 4 x

x^{^{''}} + 2 x = 2 t + 26

y^{^{''}} + 2 y^{^{'}} + y = x e^{x}

y^{^{''}} - 14 y^{^{'}} + 49 y = e^{7 t} ln (t)

y^{^{''}} + 2 y = \frac{1}{cos ( 2 x )}