(dy)/(dx)y=ln(5)x^5

Lösung

\frac{d y}{d x} y = ln (5) x^{5}

y = \frac{ln ( 5 ) x ^{6} + c _{1}}{3}, y = - \frac{ln ( 5 ) x ^{6} + c _{1}}{3}

Schritte zur Lösung

\frac{d y}{d x} y = ln (5) x^{5}

Solve separable ODE:

y = \frac{ln ( 5 ) x ^{6} + c _{1}}{3}, y = - \frac{ln ( 5 ) x ^{6} + c _{1}}{3}

y = \frac{ln ( 5 ) x ^{6} + c _{1}}{3}, y = - \frac{ln ( 5 ) x ^{6} + c _{1}}{3}

y^{^{'}} = - 2 x csc (y)

\frac{d P}{d t} = \frac{3}{2} P

\frac{d y}{d x} (2 y) = 3.2

y - 4 y^{^{'}} + 5 y = 0

y^{2} \frac{d y}{d x} = x - 2