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Beliebt Rechnen >

(dy)/(dx)3^x+3^y=3^{x+y}

Lösung

\frac{d y}{d x} 3^{x} + 3^{y} = 3^{x + y}

Lösung

y = - \frac{ln ( - ln ( 3 ) x - 3 ^{- x} - c _{1} )}{ln ( 3 )}

Schritte zur Lösung

\frac{d y}{d x} 3^{x} + 3^{y} = 3^{x + y}

Solve separable ODE:

y = - \frac{ln ( - ln ( 3 ) x - 3 ^{- x} - c _{1} )}{ln ( 3 )}

y = - \frac{ln ( - ln ( 3 ) x - 3 ^{- x} - c _{1} )}{ln ( 3 )}

Beliebte Beispiele

(dy)/(dx)=e^{x+2y},y(0)= 1/2

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

y^{^{'}} + 5 y = 9

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

(dy)/(dx)=-5/7 x^4y^6

\frac{d y}{d x} = - \frac{5}{7} x^{4} y^{6}

(dv)/(dt)=\sqrt[3]{v},v(0)=5.2

\frac{d v}{d t} = 3 v, v (0) = 5.2