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Beliebt Rechnen >

y^{''}-2y^'=e^xsin(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}-y=t-2,y(2)=3,y^'(2)=0

y^{^{''}} - y = t - 2, y (2) = 3, y^{^{'}} (2) = 0

y^{''}-y=sin(t)

y^{^{''}} - y = sin (t)

4y^{''}-16y^'+64y=-(2e^{8x})/(3x)

4 y^{^{''}} - 16 y^{^{'}} + 64 y = - \frac{2 e ^{8 x}}{3 x}

y^{''}+y^'-2y=cos(x)

y^{^{''}} + y^{^{'}} - 2 y = cos (x)

y^{''}+5y^'+6y=x^2

y^{^{''}} + 5 y^{^{'}} + 6 y = x^{2}