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Beliebt Rechnen >

(D^4+D^2)y=18x-4sin(x)

Lösung

(D^{4} + D^{2}) y = 18 x - 4 sin (x)

Lösung

y = c_{1} + c_{2} x + c_{3} cos (x) + c_{4} sin (x) + 3 x^{3} - 2 x cos (x)

Schritte zur Lösung

(D^{4} + D^{2}) y = 18 x - 4 sin (x)

Solve linear ODE:

y = c_{1} + c_{2} x + c_{3} cos (x) + c_{4} sin (x) + 3 x^{3} - 2 x cos (x)

y = c_{1} + c_{2} x + c_{3} cos (x) + c_{4} sin (x) + 3 x^{3} - 2 x cos (x)

Graph

Beliebte Beispiele

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

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

y^{''''}+2y^{''}+y=3t+4

y^{^{''''}} + 2 y^{^{''}} + y = 3 t + 4

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

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

4y^{''}-4y^'+y=32e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 32 e^{\frac{t}{2}}

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

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