((dy)/(dx))-yx=0

Lösung

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

y = e^{\frac{x ^{2}}{2} + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{\frac{x ^{2}}{2} + c_{1}}

y = e^{\frac{x ^{2}}{2} + c_{1}}

\frac{d y}{d x} = 70 y x^{6}, y = 6

\frac{d v}{d t} = v \cdot t^{3} - 1.5 \cdot v, v (0) = 1

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

y^{^{'}} + 50 y = 5, y (0) = 0, y (0) = 0

(x + 3) d y = \frac{1}{y ^{2}} d x