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Beliebt Rechnen >

derivative of 2^x+2^y=2^{x+y}

Lösung

\frac{d}{d x} (2^{x} + 2^{y}) = 2^{x + y}

Lösung

y = \frac{ln ( e ^{\frac{2 ^{x}}{l n ( 2 )} + c_{1}} + ln ( 2 ) )}{ln ( 2 )}

Schritte zur Lösung

\frac{d}{d x} (2^{x} + 2^{y}) = 2^{x + y}

Solve separable ODE:

y = \frac{ln ( e ^{\frac{2 ^{x}}{l n ( 2 )} + c_{1}} + ln ( 2 ) )}{ln ( 2 )}

y = \frac{ln ( e ^{\frac{2 ^{x}}{l n ( 2 )} + c_{1}} + ln ( 2 ) )}{ln ( 2 )}

Beliebte Beispiele

(dy)/(dx)=8x^6y-y,(1)=-2

\frac{d y}{d x} = 8 x^{6} y - y, (1) = - 2

(dy)/(dx)+50y= 1/2 ,y(0)=0

\frac{d y}{d x} + 50 y = \frac{1}{2}, y (0) = 0

y^'=8t-10t-2t*y

y^{^{'}} = 8 t - 10 t - 2 t \cdot y

derivative of xy=cot(x)y

\frac{d}{d x} (x y) = cot (x) y

y^{^{'}} - e^{y} x = 0