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Beliebt Rechnen >

(dy)/(dx)-y=3e^x+12e^{4x}

Lösung

\frac{d y}{d x} - y = 3 e^{x} + 12 e^{4 x}

Lösung

y = 3 e^{x} x + 4 e^{4 x} + c_{1} e^{x}

Schritte zur Lösung

\frac{d y}{d x} - y = 3 e^{x} + 12 e^{4 x}

Solve linear ODE:

y = 3 e^{x} x + 4 e^{4 x} + c_{1} e^{x}

y = 3 e^{x} x + 4 e^{4 x} + c_{1} e^{x}

Graph

Beliebte Beispiele

integral of x^2*sqrt(16-x^2)

\int x^{2} \cdot 16 - x^{2} d x

derivative of (x-15/(sqrt(x)-\sqrt{15)})

\frac{d}{d x} (\frac{x - 15}{x - 15})

derivative sqrt(4x+8)

d er i v a t i v e 4 x + 8

limit as x approaches 1 of x-3

x \to 1 lim (x - 3)

derivative y=x*e^{4-x}

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