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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- x} + c_{2} x e^{- x} + e^{3} + \frac{1}{9} e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + e^{3} + \frac{1}{9} e^{2 x}

y = c_{1} e^{- x} + c_{2} x e^{- x} + e^{3} + \frac{1}{9} e^{2 x}

Graph

Beliebte Beispiele

y^{''}-9y=sin(x)

y^{^{''}} - 9 y = sin (x)

(d^2u)/(dy^2)-4u+6=0

\frac{d ^{2} u}{d y ^{2}} - 4 u + 6 = 0

y^{''}-16y=32+45e^x,y(0)=0

y^{^{''}} - 16 y = 32 + 45 e^{x}, y (0) = 0

y^{'''}-3y^{''}+3y^'-y-e^x=0

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y - e^{x} = 0

x^{''}+x^'+x=1,x^'(0)=0

x^{^{''}} + x^{^{'}} + x = 1, x^{^{'}} (0) = 0