Question

Решите уравнение 2y^2dy=3xdx

Answer 1

Пошаговое объяснение:

$2 {y}^{2} dy = 3xdx$

$2∫{y}^{2}dy = 3∫xdx$

$\frac{2}{3} {y}^{3} = \frac{3}{2} {x}^{2} +с1$

${y}^{3} = (\frac{3}{2} {x}^{2} +с1) \div \frac{2}{3}$

${y}^{3} = \frac{9}{4} {x}^{2} +с$

${y} = \sqrt[3]{\frac{9}{4} {x}^{2} +с}$

$c = \frac{3}{2}c1$