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Beliebt Rechnen >

y^{''''}-y=3t+cos(t)

Lösung

y^{^{''''}} - y = 3 t + cos (t)

Lösung

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

Schritte zur Lösung

y^{(4)} (t) - y = 3 t + cos (t)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+2y^'+5y=1+e^x

y^{^{''}} + 2 y^{^{'}} + 5 y = 1 + e^{x}

y^{''}+4y=sin(t)\H(t-2pi)

y^{^{''}} + 4 y = sin (t) H (t - 2 π)

4 y^{^{''}} + 16 y = 1

14y^{''}+y^'+y=x^2-3x

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

(d^2y)/(dx^2)-4(dy)/(dx)+4y=x^3e^{2x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = x^{3} e^{2 x}