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Beliebt Rechnen >

y^{''''}-y=4t+cos(t)

Lösung

y^{^{''''}} - y = 4 t + cos (t)

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 4 t - \frac{t sin ( t )}{4}

Schritte zur Lösung

y^{(4)} (t) - y = 4 t + cos (t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 4 t - \frac{t sin ( t )}{4}

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 4 t - \frac{t sin ( t )}{4}

Graph

Beliebte Beispiele

y^{''}+6y^'+9y=50e^{2x}

y^{^{''}} + 6 y^{^{'}} + 9 y = 50 e^{2 x}

(d^2y)/(dx^2)+4(dy)/(dx)+5y=x*e^{2x}

\frac{d ^{2} y}{d x ^{2}} + 4 \frac{d y}{d x} + 5 y = x \cdot e^{2 x}

2y^{''}+3y^'+y=e^{-3x}

2 y^{^{''}} + 3 y^{^{'}} + y = e^{- 3 x}

y^{^{''}} - y^{^{'}} = - 6

y^{''}-4y^'+4y=(x+1)e^x

y^{^{''}} - 4 y^{^{'}} + 4 y = (x + 1) e^{x}