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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

e^{2 x} y^{'} (x) - 2 e^{2 x} y = 3 e^{4 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

limit as x approaches 5-of (12)/(5-x)

x \to 5 - lim (\frac{12}{5 - x})

derivative of e^x(8x^2-16x+16)

\frac{d}{d x} (e^{x} (8 x^{2} - 16 x + 16))

integral of x^{-6}

\int x^{- 6} d x

derivative y=-2/(x^3)

d er i v a t i v e y = - \frac{2}{x ^{3}}

tangent f(x)=x^2,\at (-3/8)

t an g e n t f (x) = x^{2}, at (- \frac{3}{8})