de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'-8y=5e^2x

Lösung

y^{^{''}} - 2 y^{^{'}} - 8 y = 5 e^{2} x

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{5 e ^{2} x}{8} + \frac{5 e ^{2}}{32}

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) - 8 y = 5 e^{2} x

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{5 e ^{2} x}{8} + \frac{5 e ^{2}}{32}

y = c_{1} e^{4 x} + c_{2} e^{- 2 x} - \frac{5 e ^{2} x}{8} + \frac{5 e ^{2}}{32}

Graph

Beliebte Beispiele

(d^2+1)y=e^{-x}+cos(x)+x^3

(d^{2} + 1) y = e^{- x} + cos (x) + x^{3}

(2d^2-d-3)y=25e^{-x}

(2 d^{2} - d - 3) y = 25 e^{- x}

(d^2-4d+4)*y=8x^2+e^{2x}

(d^{2} - 4 d + 4) \cdot y = 8 x^{2} + e^{2 x}

y^{'''}+6y^{''}=x^2

y^{^{'''}} + 6 y^{^{''}} = x^{2}

(d^3+4d)y=sin^2(x)

(d^{3} + 4 d) y = sin^{2} (x)