de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{'''}+5y^{''}+y^'-75y=0,y(0)=e^{3x}

Lösung

y^{^{'''}} + 5 y^{^{''}} + y^{^{'}} - 75 y = 0, y (0) = e^{3 x}

Lösung

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

Schritte zur Lösung

y^{'''} (x) + 5 y^{''} (x) + y^{'} (x) - 75 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-4y=0,y(0)=1,y^'(0)=2

y^{^{''}} - 4 y = 0, y (0) = 1, y^{^{'}} (0) = 2

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

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

2x^{''}+3x^'+7x=0

2 x^{^{''}} + 3 x^{^{'}} + 7 x = 0

3y^{''}-2y^'+6y=0

3 y^{^{''}} - 2 y^{^{'}} + 6 y = 0

y^{'''}+36y^'=0,y(0)=1

y^{^{'''}} + 36 y^{^{'}} = 0, y (0) = 1