de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+100y=-2sin(10t)-4cos(10t)

Lösung

y^{^{''}} + 100 y = - 2 sin (10 t) - 4 cos (10 t)

Lösung

y = c_{1} cos (10 t) + c_{2} sin (10 t) - \frac{t sin ( 10 t )}{5} + \frac{t cos ( 10 t )}{10}

Schritte zur Lösung

y^{''} (t) + 100 y = - 2 sin (10 t) - 4 cos (10 t)

Solve linear ODE:

y = c_{1} cos (10 t) + c_{2} sin (10 t) - \frac{t sin ( 10 t )}{5} + \frac{t cos ( 10 t )}{10}

y = c_{1} cos (10 t) + c_{2} sin (10 t) - \frac{t sin ( 10 t )}{5} + \frac{t cos ( 10 t )}{10}

Graph

Beliebte Beispiele

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

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

y^{''}+2y^'+5y=5\H(t)

y^{^{''}} + 2 y^{^{'}} + 5 y = 5 H (t)

y^{''}+3*y^'+2*y=sqrt(x)

y^{^{''}} + 3 \cdot y^{^{'}} + 2 \cdot y = x

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

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

(d^2x)/(dt^2)+(dx)/(dt)+x=1,x(0)=0

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 1, x (0) = 0