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)-3(dy)/(dx)+2y=e^{3x}

Lösung

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = e^{3 x}

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 3 \frac{d y}{d x} + 2 y = e^{3 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'-40y=-132t+80t^2

y^{^{''}} + 3 y^{^{'}} - 40 y = - 132 t + 80 t^{2}

y^{''}+8y^'+12=0

y^{^{''}} + 8 y^{^{'}} + 12 = 0

y^{''}+2y^'+2y=5e^t+2t+2

y^{^{''}} + 2 y^{^{'}} + 2 y = 5 e^{t} + 2 t + 2

y^{'''}=3y^{''}+9e^3x+5cos(x)

y^{^{'''}} = 3 y^{^{''}} + 9 e^{3} x + 5 cos (x)

y^{''}+9y=10e^-1,y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 10 e^{-} 1, y (0) = 0, y^{^{'}} (0) = 0