de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y^'=2x-3e^x

Lösung

y^{^{''}} + 4 y^{^{'}} = 2 x - 3 e^{x}

Lösung

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{2}}{4} - \frac{x}{8} - \frac{3}{5} e^{x}

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) = 2 x - 3 e^{x}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{2}}{4} - \frac{x}{8} - \frac{3}{5} e^{x}

y = c_{1} + c_{2} e^{- 4 x} + \frac{x ^{2}}{4} - \frac{x}{8} - \frac{3}{5} e^{x}

Graph

Beliebte Beispiele

integral of 5cos^3(x)

\int 5 cos^{3} (x) d x

derivative of 3/((2x-1^3))

\frac{d}{d x} (\frac{3}{( 2 x - 1 ) ^{3}})

derivative of sqrt((1+x/(1-x)))

\frac{d}{d x} (\frac{1 + x}{1 - x})

integral from 0 to 5 of 1/(1+x^2)

\int_{0}^{5} \frac{1}{1 + x ^{2}} d x

(y^2+xy^2)((dy)/(dx))=1

(y^{2} + x y^{2}) (\frac{d y}{d x}) = 1