de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{'''}-10x^{''}+37x^'-52x=0

Lösung

x^{^{'''}} - 10 x^{^{''}} + 37 x^{^{'}} - 52 x = 0

Lösung

x = c_{1} e^{4 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Schritte zur Lösung

x^{'''} (t) - 10 x^{''} (t) + 37 x^{'} (t) - 52 x = 0

Solve linear ODE:

x = c_{1} e^{4 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

x = c_{1} e^{4 t} + e^{3 t} (c_{2} cos (2 t) + c_{3} sin (2 t))

Graph

Beliebte Beispiele

x^{''}+6x^'+8x=0,x(0)=7

x^{^{''}} + 6 x^{^{'}} + 8 x = 0, x (0) = 7

y^{''}+8y^'+32y=0,y^'0=-4,y^0=1

y^{^{''}} + 8 y^{^{'}} + 32 y = 0, y^{^{'}} 0 = - 4, y^{0} = 1

4y^{''}+3y^{''}+y=0

4 y^{^{''}} + 3 y^{^{''}} + y = 0

2 y^{^{'}} + 3 y^{^{''}} = 0

4y^{''}-4y^'+(-3)y=0,y(0)=5,y^'(0)=0

4 y^{^{''}} - 4 y^{^{'}} + (- 3) y = 0, y (0) = 5, y^{^{'}} (0) = 0