(5y-2x)((dy)/(dx))-2y=0

Lösung

(5 y - 2 x) (\frac{d y}{d x}) - 2 y = 0

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

Schritte zur Lösung

(5 y - 2 x) (\frac{d y}{d x}) - 2 y = 0

Solve exact ODE:

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

s l o p e in t erce pt (5) (0.5)

a re a y = x^{2} - 7, y = 2

x \to 2 lim (- x^{3} + 2 x^{2} - 1)

\int \frac{x ^{2}}{( 144 + x ^{2} ) ^{2}} d x

x \to 0 lim (arctan (\frac{5}{x}))