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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{'''}-y^{''}+y^'-y=sec(t)

y^{^{'''}} - y^{^{''}} + y^{^{'}} - y = sec (t)

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

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

y^{''}+2y^'+5y=1,y^'(0)=0,y(0)=0

y^{^{''}} + 2 y^{^{'}} + 5 y = 1, y^{^{'}} (0) = 0, y (0) = 0

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

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

y^{''''}-y=e^{2t}

y^{^{''''}} - y = e^{2 t}