(dy)/(dx)= x/y ,y(0)=-6

Lösung

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 6

y = - x^{2} + 36

Schritte zur Lösung

\frac{d y}{d x} = \frac{x}{y}

Solve separable ODE:

y = - x^{2} + 36

y = - x^{2} + 36

\frac{d y}{d x} = 10 x sec (y)

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

\frac{d x}{d t} = x^{2} + \frac{1}{64}

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

y^{^{'}} + tan (4 \cdot x) y = 0, y (0) = 2