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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

y^{''} (x) - 4 y^{'} (x) + 4 y = e^{2 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

(5y-2x)dy-2ydx=0

(5 y - 2 x) d y - 2 y d x = 0

(\partial)/(\partial x)((3x-5y)/(3x+5y))

\frac{\partial}{\partial x} (\frac{3 x - 5 y}{3 x + 5 y})

(\partial)/(\partial y)(e^{xy}+2x-5y)

\frac{\partial}{\partial y} (e^{x y} + 2 x - 5 y)

tangent y=2x^3-5x+1,(1,-2)

t an g e n t y = 2 x^{3} - 5 x + 1, (1, - 2)

integral of xsqrt(1-x^2)

\int x 1 - x^{2} d x