de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{\frac{x}{2}} (- \frac{1}{2} cos (\frac{7 x}{2}) - \frac{1}{2 7} sin (\frac{7 x}{2})) + \frac{1}{2} e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{\frac{x}{2}} (- \frac{1}{2} cos (\frac{7 x}{2}) - \frac{1}{2 7} sin (\frac{7 x}{2})) + \frac{1}{2} e^{x}

y = e^{\frac{x}{2}} (- \frac{1}{2} cos (\frac{7 x}{2}) - \frac{1}{2 7} sin (\frac{7 x}{2})) + \frac{1}{2} e^{x}

Graph

Beliebte Beispiele

integral of-1/(2x^3)

integral of (y^2-1)/(y 3/2)

integral of (2x-1)sin(3x)

integral of ((x^2+x))/(x^2)

(d^2y)/(dx^2)+(dy)/(dx)-6y=4e^{-x}