(7x+2y)(dy)/(dx)=-2x-7y

Lösung

(7 x + 2 y) \frac{d y}{d x} = - 2 x - 7 y

y = \frac{- 7 x + 45 x ^{2} + c _{1}}{2}, y = \frac{- 7 x - 45 x ^{2} + c _{1}}{2}

Schritte zur Lösung

(7 x + 2 y) \frac{d y}{d x} = - 2 x - 7 y

Solve exact ODE:

y = \frac{- 7 x + 45 x ^{2} + c _{1}}{2}, y = \frac{- 7 x - 45 x ^{2} + c _{1}}{2}

y = \frac{- 7 x + 45 x ^{2} + c _{1}}{2}, y = \frac{- 7 x - 45 x ^{2} + c _{1}}{2}

x \to 2 + lim (\frac{x + 4}{x - 2})

x \to 0 lim (\frac{7 x}{∣ x ∣})

x \to 1 - lim (ln (x^{2} - 1))

x \to 6 + lim (\frac{7}{x - 6})

\int_{0}^{7} 2 t^{2} - 20 t + 48 d t