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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- x} + \frac{1}{10} e^{2 x} sin (x) - \frac{1}{10} e^{2 x} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- x} + \frac{1}{10} e^{2 x} sin (x) - \frac{1}{10} e^{2 x} cos (x)

y = c_{1} + c_{2} e^{- x} + \frac{1}{10} e^{2 x} sin (x) - \frac{1}{10} e^{2 x} cos (x)

Graph

Beliebte Beispiele

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

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

y^{^{''}} + y^{^{'}} = e^{t}

y^{''}+4y^'=x^2+3x+4

y^{^{''}} + 4 y^{^{'}} = x^{2} + 3 x + 4

(d^2y)/(dx^2)-1/5 (dy)/(dx)+3/400 =0

\frac{d ^{2} y}{d x ^{2}} - \frac{1}{5} \frac{d y}{d x} + \frac{3}{400} = 0

(D^2-3D+2)y=6e^{3x}+sin(2x)

(D^{2} - 3 D + 2) y = 6 e^{3 x} + sin (2 x)