de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = x e^{2 x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} + \frac{e ^{2 x} x ^{2}}{10} - \frac{e ^{2 x} x}{25}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = x e^{2 x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} + \frac{e ^{2 x} x ^{2}}{10} - \frac{e ^{2 x} x}{25}

y = c_{1} e^{2 x} + c_{2} e^{- 3 x} + \frac{e ^{2 x} x ^{2}}{10} - \frac{e ^{2 x} x}{25}

Graph

Beliebte Beispiele

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

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

y^{''}-8y^'+16y=-5e^{4x}+(e^{4x})/x

y^{^{''}} - 8 y^{^{'}} + 16 y = - 5 e^{4 x} + \frac{e ^{4 x}}{x}

ay^{''}+by^'+cy=g(t)

a y^{^{''}} + b y^{^{'}} + cy = g (t)

(d^{2} - 4) y = 2 x

y^{''}+y^'-2y=2t-40cos(2t)

y^{^{''}} + y^{^{'}} - 2 y = 2 t - 40 cos (2 t)