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Beliebt Rechnen >

(d^2y)/(dx^2)+y=3+e^{-x}+5e^{2x}

Lösung

\frac{d ^{2} y}{d x ^{2}} + y = 3 + e^{- x} + 5 e^{2 x}

Lösung

y = c_{1} cos (x) + c_{2} sin (x) + 3 + \frac{1}{2} e^{- x} + e^{2 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + y = 3 + e^{- x} + 5 e^{2 x}

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) + 3 + \frac{1}{2} e^{- x} + e^{2 x}

y = c_{1} cos (x) + c_{2} sin (x) + 3 + \frac{1}{2} e^{- x} + e^{2 x}

Graph

Beliebte Beispiele

y^{''}+9y^'+14y=3sin(2x)

y^{^{''}} + 9 y^{^{'}} + 14 y = 3 sin (2 x)

x^{''}-x=e^{-t}

x^{^{''}} - x = e^{- t}

y^{''}+4y^'+4y=ln(x)

y^{^{''}} + 4 y^{^{'}} + 4 y = ln (x)

y^{''}+4y=32sin(4t),y(0)=1,y^'(0)=0

y^{^{''}} + 4 y = 32 sin (4 t), y (0) = 1, y^{^{'}} (0) = 0

y^{''}+y^'-6=4x^3+3x

y^{^{''}} + y^{^{'}} - 6 = 4 x^{3} + 3 x