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Beliebt Rechnen >

y^{''''}+8y^{''}+16y=-sin(x)

Lösung

y^{^{''''}} + 8 y^{^{''}} + 16 y = - sin (x)

Lösung

y = c_{1} cos (2 x) + c_{2} sin (2 x) + x (c_{3} cos (2 x) + c_{4} sin (2 x)) - \frac{1}{9} sin (x)

Schritte zur Lösung

y^{(4)} (x) + 8 y^{''} (x) + 16 y = - sin (x)

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + x (c_{3} cos (2 x) + c_{4} sin (2 x)) - \frac{1}{9} sin (x)

y = c_{1} cos (2 x) + c_{2} sin (2 x) + x (c_{3} cos (2 x) + c_{4} sin (2 x)) - \frac{1}{9} sin (x)

Graph

Beliebte Beispiele

x^{''}+6x^'+23x=12cos(4t)

x^{^{''}} + 6 x^{^{'}} + 23 x = 12 cos (4 t)

(d^2+9)y=30sin^3(x)

(d^{2} + 9) y = 30 sin^{3} (x)

y^{''''}-y=11t+cos(t)

y^{^{''''}} - y = 11 t + cos (t)

y^{''}-4y^'+4y=10e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = 10 e^{2 x}

2(d^2y)/(dx^2)-5(dy)/(dx)-3=0

2 \frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 3 = 0