de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^3-1)*y=e^x

Lösung

(d^{3} - 1) \cdot y = e^{x}

Lösung

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

Schritte zur Lösung

(d^{3} - 1) y = e^{x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+4y=0,y^1(0)=sin^2(x)

y^{^{''}} + 4 y = 0, y^{1} (0) = sin^{2} (x)

2 y^{^{''}} - 72 y = 0

y^{''}-3y=0,y(0)=1,y^'(0)=5

y^{^{''}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 5

u^{''}((x))/x+b^2\H(x)((x))/x =0

u^{^{''}} \frac{( x )}{x} + b^{2} H (x) \frac{( x )}{x} = 0

(d^{2} - 6 d + 9) y = 0