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Beliebt Rechnen >

y^{''}+2y^'-3y=2e^t

Lösung

y^{^{''}} + 2 y^{^{'}} - 3 y = 2 e^{t}

Lösung

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

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 3 y = 2 e^{t}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(d^2+5d+6)y=(d+1)6t^2

(d^{2} + 5 d + 6) y = (d + 1) 6 t^{2}

y^{''}+y=8e^{-6x}

y^{^{''}} + y = 8 e^{- 6 x}

(d^2-1)*y=x*e^x+cos^2(x)+x^2

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

y^{''}+2y^'+y=8e^x,y(0)=0,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + y = 8 e^{x}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'+2y=x^2+1

y^{^{''}} - 2 y^{^{'}} + 2 y = x^{2} + 1