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Beliebt Rechnen >

(dy)/(dx)=e^{5y+6x},y(0)=2

Lösung

\frac{d y}{d x} = e^{5 y + 6 x}, y (0) = 2

Lösung

y = - \frac{ln ( - \frac{5}{6} e ^{6 x} + \frac{1}{e ^{10}} + \frac{5}{6} )}{5}

Schritte zur Lösung

\frac{d y}{d x} = e^{5 y + 6 x}

Solve separable ODE:

y = - \frac{ln ( - \frac{5}{6} e ^{6 x} + \frac{1}{e ^{10}} + \frac{5}{6} )}{5}

y = - \frac{ln ( - \frac{5}{6} e ^{6 x} + \frac{1}{e ^{10}} + \frac{5}{6} )}{5}

Graph

Beliebte Beispiele

derivative of ((1-5x)/((1+5x)))

\frac{d}{d x} (\frac{( 1 - 5 x )}{( 1 + 5 x )})

(dy)/(dx)=y(1-0.0002y)

\frac{d y}{d x} = y (1 - 0.0002 y)

derivative ln(x^2+4)

d er i v a t i v e ln (x^{2} + 4)

limit as x approaches 0 of 2f(x)-1

x \to 0 lim (2 f (x) - 1)

y^{''}+16y=4t^2

y^{^{''}} + 16 y = 4 t^{2}