(dy)/(dx)-3y=12

Lösung

\frac{d y}{d x} - 3 y = 12

y = e^{3 x + c_{1}} - 4

Schritte zur Lösung

\frac{d y}{d x} - 3 y = 12

Solve separable ODE:

y = e^{3 x + c_{1}} - 4

y = e^{3 x + c_{1}} - 4

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

x^{^{'}} - 2 x = 4

x d x + (sin (y) + x^{2} sin (y)) d y = 0

2 (x - 1) y^{^{'}} = 7 y

y^{^{'}} = 2 x^{2} y