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Beliebt Rechnen >

(dy)/(dx)=e^{2x}+4y

Lösung

\frac{d y}{d x} = e^{2 x} + 4 y

Lösung

y = - \frac{e ^{2 x}}{2} + c_{1} e^{4 x}

Schritte zur Lösung

\frac{d y}{d x} = e^{2 x} + 4 y

Solve linear ODE:

y = - \frac{e ^{2 x}}{2} + c_{1} e^{4 x}

y = - \frac{e ^{2 x}}{2} + c_{1} e^{4 x}

Graph

Beliebte Beispiele

derivative of 3x+2x^2

\frac{d}{d x} (3 x + 2 x^{2})

limit as x approaches 6 of (x^2-6)/(x+4)

x \to 6 lim (\frac{x ^{2} - 6}{x + 4})

integral of (19)/(x(x^2+4)^2)

\int \frac{19}{x ( x ^{2} + 4 ) ^{2}} d x

integral from 1 to 7 of x^2-4x-12

\int_{1}^{7} x^{2} - 4 x - 12 d x

derivative x^{7/2}e^x

d er i v a t i v e x^{\frac{7}{2}} e^{x}