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Beliebt Rechnen >

(dy)/(dx)=(2-e^x)/(3+2y)

Lösung

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}

Lösung

y = \frac{- 3 + 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}, y = \frac{- 3 - 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}

Solve separable ODE:

y = \frac{- 3 + 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}, y = \frac{- 3 - 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}

y = \frac{- 3 + 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}, y = \frac{- 3 - 9 - 4 ( - c _{1} + e ^{x} - 2 x )}{2}

Graph

Beliebte Beispiele

derivative (8x+7)^2

d er i v a t i v e (8 x + 7)^{2}

sum from n=1 to infinity of (ln(n))/(8n)

n = 1 \sum \infty \frac{ln ( n )}{8 n}

integral of x^2sqrt(x^3+8)

\int x^{2} x^{3} + 8 d x

derivative of x^3-12x^2+45x+9

\frac{d}{d x} (x^{3} - 12 x^{2} + 45 x + 9)

limit as x approaches 2 of 7/(x-2)

x \to 2 lim (\frac{7}{x - 2})