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Beliebt Rechnen >

(d^2y)/(dx^2)+3(dy)/(dx)+2y=sin(e^x)

Lösung

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = sin (e^{x})

Lösung

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} sin (e^{x})

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 3 \frac{d y}{d x} + 2 y = sin (e^{x})

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} sin (e^{x})

y = c_{1} e^{- x} + c_{2} e^{- 2 x} - e^{- 2 x} sin (e^{x})

Graph

Beliebte Beispiele

y^{''}+3y^'-10y=x(e^{2x}+1)

y^{^{''}} + 3 y^{^{'}} - 10 y = x (e^{2 x} + 1)

(d^2y)/(dx^2)-y=cosh(x)

\frac{d ^{2} y}{d x ^{2}} - y = cosh (x)

y^{''}-4y^'-12y=2t^3-t+3

y^{^{''}} - 4 y^{^{'}} - 12 y = 2 t^{3} - t + 3

y^{''}+y^'+y=x*e^x

y^{^{''}} + y^{^{'}} + y = x \cdot e^{x}

y^{''}-6y^'+8y=e^{2x}

y^{^{''}} - 6 y^{^{'}} + 8 y = e^{2 x}