xv(dv)/(dx)+v^2=32x

Lösung

xv \frac{d v}{d x} + v^{2} = 32 x

v = \frac{64 x ^{3} + c _{1}}{3 x}, v = - \frac{64 x ^{3} + c _{1}}{3 x}

Schritte zur Lösung

xv \frac{d v}{d x} + v^{2} = 32 x

Solve Bernoulli ODE:

v = \frac{64 x ^{3} + c _{1}}{3 x}, v = - \frac{64 x ^{3} + c _{1}}{3 x}

v = \frac{64 x ^{3} + c _{1}}{3 x}, v = - \frac{64 x ^{3} + c _{1}}{3 x}

x \to 1 lim (\frac{x - 1}{∣ x - 1 ∣})

\int_{4}^{9} 2 x d x

n = 1 \sum \infty \frac{n ^{2}}{2 n ^{2}}

d er i v a t i v e y = 4 x^{2} sin (x) tan (x)

y^{^{'}} = \frac{1}{t y + 2 t + y + 2}