Final Answer
$y=\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2},\:y=-\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2}$
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Step-by-step Solution
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1
Factoring by $y$
$y\left(4+x^2\right)dy-\left(2x+xy^2\right)dx=0$
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$y\left(4+x^2\right)dy-\left(2x+xy^2\right)dx=0$
Learn how to solve problems step by step online. Solve the differential equation (4y+yx^2)dy-(2x+xy^2)dx=0. Factoring by y. Factoring by x. Grouping the terms of the differential equation. Multiply -1 times -1.
Final Answer
$y=\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2},\:y=-\sqrt{2.000006\left(\frac{\sqrt{4+x^2}}{C_2}\right)^{2}-2}$