(dy)/(dx)= 4/(x^2e^{3y+9)}

Lösung

\frac{d y}{d x} = \frac{4}{x ^{2} e ^{3 y + 9}}

y = \frac{ln ( - \frac{12}{e ^{9} x} + c _{1} )}{3}

Schritte zur Lösung

\frac{d y}{d x} = \frac{4}{x ^{2} e ^{3 y + 9}}

Solve separable ODE:

y = \frac{ln ( - \frac{12}{e ^{9} x} + c _{1} )}{3}

y = \frac{ln ( - \frac{12}{e ^{9} x} + c _{1} )}{3}

\frac{\partial}{\partial x} (x^{4} y^{3})

\int (\frac{x}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}}) d y

\int_{1}^{5} \frac{1}{( 5 - x ) ^{\frac{5}{2}}} d x

\frac{\partial}{\partial x} (y^{3} - 3 x^{2} y)

f (x) = (4 x + 5)^{3} (x^{2} - 6 x + 5)^{4}