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Beliebt Rechnen >

y^{''''}-y=8t+cos(t)

Lösung

y^{^{''''}} - y = 8 t + cos (t)

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 8 t - \frac{t sin ( t )}{4}

Schritte zur Lösung

y^{(4)} (t) - y = 8 t + cos (t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 8 t - \frac{t sin ( t )}{4}

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 8 t - \frac{t sin ( t )}{4}

Graph

Beliebte Beispiele

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

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

y^{''}-4y^'+5y=e^{-3t},y(0)=1,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 5 y = e^{- 3 t}, y (0) = 1, y^{^{'}} (0) = 0

(d^2y)/(dx^2)+100y=csc(10x)

\frac{d ^{2} y}{d x ^{2}} + 100 y = csc (10 x)

y^{''}+y^'+y=x^4+4x^3+12x^2

y^{^{''}} + y^{^{'}} + y = x^{4} + 4 x^{3} + 12 x^{2}

(D^2+5D+6)y=(D+1)x

(D^{2} + 5 D + 6) y = (D + 1) x