(x^2-1)(dy)/(dx)+2y=(x+1)^2

Lösung

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

y = \frac{x ( x + 1 )}{x - 1} + \frac{c _{1} ( x + 1 )}{x - 1}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ( x + 1 )}{x - 1} + \frac{c _{1} ( x + 1 )}{x - 1}

y = \frac{x ( x + 1 )}{x - 1} + \frac{c _{1} ( x + 1 )}{x - 1}

d er i v a t i v e f (x) = (2 x + 3)^{2}

\int_{0}^{2} 2 x^{3} x^{2} + 4 d x

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

t an g e n t f (x) = x^{2} + x, at x = - 1, x = 2

s l o p e (8.7) (- 6.7)