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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} ln (x) - e^{2 x}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} ln (x) - e^{2 x}

y = c_{1} e^{2 x} + c_{2} x e^{2 x} - e^{2 x} ln (x) - e^{2 x}

Graph

Beliebte Beispiele

fläche e^x,e^{-4},4,0

a re a e^{x}, e^{- 4}, 4, 0

derivative (440t)/((t^2+7)^3)

d er i v a t i v e \frac{440 t}{( t ^{2} + 7 ) ^{3}}

integral of tan^4(x)cos^5(x)

\int tan^{4} (x) cos^{5} (x) d x

tangent f(x)=e^x,\at x=2

t an g e n t f (x) = e^{x}, at x = 2

derivative y=4^{-x}

d er i v a t i v e y = 4^{- x}