de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2x)/(dt^2)+36x=10sin(4t)

Lösung

\frac{d ^{2} x}{d t ^{2}} + 36 x = 10 sin (4 t)

Lösung

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{1}{2} sin (4 t)

Schritte zur Lösung

\frac{d ^{2} x}{d t ^{2}} + 36 x = 10 sin (4 t)

Solve linear ODE:

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{1}{2} sin (4 t)

x = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{1}{2} sin (4 t)

Graph

Beliebte Beispiele

y^{''''}-y=1,y(0)=0,y^'(0)=0,y^{''}(0)=0

y^{^{''''}} - y = 1, y (0) = 0, y^{^{'}} (0) = 0, y^{^{''}} (0) = 0

y^{''}-4y^'=5e^{2x}-2cos(x)

y^{^{''}} - 4 y^{^{'}} = 5 e^{2 x} - 2 cos (x)

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

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

4y^{''}-4y^'+y=72e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 72 e^{\frac{t}{2}}

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

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