(dy)/(dx)=-ay

الحلّ

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

y = e^{- a x + c_{1}}

خطوات الحلّ

\frac{d y}{d x} = - a y (x)

Solve separable ODE:

y = e^{- a x + c_{1}}

y = e^{- a x + c_{1}}

y^{^{'}} = (2 - y) x, y (1) = - 1

y d x + (2 + x) d y = 0

\frac{d y}{d x} = e^{3 x + 2 y}, y (0) = 0

y^{^{'}} = 2 (1 + x) (1 + y^{2})

\frac{d y}{d x} e^{x + y} - x = 0