de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'+y=t^{-7}e^t

Lösung

y^{^{''}} - 2 y^{^{'}} + y = t^{- 7} e^{t}

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{30 t ^{5}}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + y = t^{- 7} e^{t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{30 t ^{5}}

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t}}{30 t ^{5}}

Graph

Beliebte Beispiele

y^{''}-y-2=0,y(0)=3

y^{^{''}} - y - 2 = 0, y (0) = 3

y^{''}-6y^'+8y=2

y^{^{''}} - 6 y^{^{'}} + 8 y = 2

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

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

y^{''}+4y+4=x^2+2sin(x)cos(x)

y^{^{''}} + 4 y + 4 = x^{2} + 2 sin (x) cos (x)

y^{''}-2y^'+y=(12e^x)/(x^3)

y^{^{''}} - 2 y^{^{'}} + y = \frac{12 e ^{x}}{x ^{3}}