de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

10x^{''}+1/90 x=0,x(0)=100,x^'(0)=25

Lösung

10 x^{^{''}} + \frac{1}{90} x = 0, x (0) = 100, x^{^{'}} (0) = 25

Lösung

x = 100 cos (\frac{t}{30}) + 750 sin (\frac{t}{30})

Schritte zur Lösung

10 x^{''} (t) + \frac{1}{90} x = 0

Solve linear ODE:

x = 100 cos (\frac{t}{30}) + 750 sin (\frac{t}{30})

x = 100 cos (\frac{t}{30}) + 750 sin (\frac{t}{30})

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+6(dy)/(dx)+8y=0

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 8 y = 0

y^{''''}-2y^{'''}+4y^{''}+2y^'-5y=0

y^{^{''''}} - 2 y^{^{'''}} + 4 y^{^{''}} + 2 y^{^{'}} - 5 y = 0

y^{''}-6y^'+25y=0,y(0)=2

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 2

4y^{''}+20y^'+25y=0,y(0)=1,y^'(0)=2

4 y^{^{''}} + 20 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = 2

(D^3-3D^2+4)y=0

(D^{3} - 3 D^{2} + 4) y = 0