y^{''}+y=sin(x),y(0)=0

Lösung

y^{^{''}} + y = sin (x), y (0) = 0

y = - \frac{x cos ( x )}{2} + c_{2} sin (x)

Schritte zur Lösung

y^{''} (x) + y = sin (x)

Solve linear ODE:

y = - \frac{x cos ( x )}{2} + c_{2} sin (x)

y = - \frac{x cos ( x )}{2} + c_{2} sin (x)

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = x e^{x} - e^{x} + 7

y^{^{''}} - 2 y^{^{'}} - 8 y = 2 sin (x) + (12 x - 10) e^{4 x}

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} - 4 y = 2 sin (x)

y^{^{''}} + 16 y = - 8 sin (4 x) + 17 e^{x}

y^{^{''}} + 2 y^{^{'}} + 17 y = - 44 - 85 x