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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} x e^{x} + 3 x^{2} e^{x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} x e^{x} + 3 x^{2} e^{x}

y = c_{1} e^{x} + c_{2} x e^{x} + 3 x^{2} e^{x}

Graph

Beliebte Beispiele

limit as h approaches 0 of (3^h-1)/h

h \to 0 lim (\frac{3 ^{h} - 1}{h})

y^{''}+y=-sin(2x),y(0)=0

y^{^{''}} + y = - sin (2 x), y (0) = 0

integral of 1/(11x-5)

\int \frac{1}{11 x - 5} d x

(\partial)/(\partial x)({f}(x,y)x(x,y))

\frac{\partial}{\partial x} (f (x, y) x (x, y))

(dy}{dx}=\frac{x+y+1)/x

\frac{d y}{d x} = \frac{x + y + 1}{x}