de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'=x+2e^x,y(0)=18,y^'(0)= 31/4

Lösung

y^{^{''}} - 2 y^{^{'}} = x + 2 e^{x}, y (0) = 18, y^{^{'}} (0) = \frac{31}{4}

Lösung

y = 5 e^{2 x} + 15 + \frac{- x ^{2} - x}{4} - 2 e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = 5 e^{2 x} + 15 + \frac{- x ^{2} - x}{4} - 2 e^{x}

y = 5 e^{2 x} + 15 + \frac{- x ^{2} - x}{4} - 2 e^{x}

Graph

Beliebte Beispiele

derivative of 2cos(x+3sin(x))

\frac{d}{d x} (2 cos (x) + 3 sin (x))

inverselaplace (s+3)/(s^2+2s+2)

in v erse l a pl a ce \frac{s + 3}{s ^{2} + 2 s + 2}

tangent 5x^2+8x-8

t an g e n t 5 x^{2} + 8 x - 8

d/(du)(sqrt(u))

\frac{d}{d u} (u)

derivative of (6x-1(5x-2)^{-1})

\frac{d}{d x} ((6 x - 1) (5 x - 2)^{- 1})