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Beliebt Rechnen >

d^2(d^2+4)y=96x^2

Lösung

d^{2} (d^{2} + 4) y = 96 x^{2}

Lösung

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + 2 x^{4} - 6 x^{2}

Schritte zur Lösung

d^{2} (d^{2} + 4) y = 96 x^{2}

Solve linear ODE:

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + 2 x^{4} - 6 x^{2}

y = c_{1} + c_{2} x + c_{3} cos (2 x) + c_{4} sin (2 x) + 2 x^{4} - 6 x^{2}

Graph

Beliebte Beispiele

(d^2y)/(dt^2)+12(dy)/(dt)+32=32\H(t)

\frac{d ^{2} y}{d t ^{2}} + 12 \frac{d y}{d t} + 32 = 32 H (t)

y^{''''}+2y^{''}+y=9cos(2x)

y^{^{''''}} + 2 y^{^{''}} + y = 9 cos (2 x)

y^{''}+y=2sec(x)

y^{^{''}} + y = 2 sec (x)

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

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

1/16 x^{''}+x=10sin(4t)

\frac{1}{16} x^{^{''}} + x = 10 sin (4 t)