(dy)/(dx)=2+3y

Lösung

\frac{d y}{d x} = 2 + 3 y

y = \frac{e ^{3 x + c_{1}}}{3} - \frac{2}{3}

Schritte zur Lösung

\frac{d y}{d x} = 2 + 3 y

Solve separable ODE:

y = \frac{e ^{3 x + c_{1}}}{3} - \frac{2}{3}

y = \frac{e ^{3 x + c_{1}}}{3} - \frac{2}{3}

x \to 0 lim (ln (x^{2}) (- 2))

\frac{\partial}{\partial x} (x^{2} + 3 x y^{2} + 2 y)

y^{^{''}} + 4 y = 2 cos (2 t)

\int_{1}^{b} \frac{2 x}{x ^{2} + 4} d x

x^{2} y + y^{^{'}} = - 3 x^{2}