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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{12 e ^{x} x ^{\frac{7}{2}}}{35}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{12 e ^{x} x ^{\frac{7}{2}}}{35}

y = c_{1} e^{x} + c_{2} x e^{x} + \frac{12 e ^{x} x ^{\frac{7}{2}}}{35}

Graph

Beliebte Beispiele

2y^{''}+5y^'+2y=xe^{-x},y(0)=0,y^'(0)=0

2 y^{^{''}} + 5 y^{^{'}} + 2 y = x e^{- x}, y (0) = 0, y^{^{'}} (0) = 0

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

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

y^{''}+4y^'+5y=2e^{-2x}cos(x)

y^{^{''}} + 4 y^{^{'}} + 5 y = 2 e^{- 2 x} cos (x)

(d^2y)/(dx^2)-4(dy)/(dx)+4y=1

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = 1

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

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