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Section Formula

Solve the dif...

Question

Solve the differential equation:
$3 x^{2} d x + 4 x y d x + 2 x^{2} d y + 2 y d y = 0$ .

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Solution

Given the differential equation,
$3 x^{2} d x + 4 x y d x + 2 x^{2} d y + 2 y d y = 0$
or, $3 x^{2} d x + d (2 x^{2} y) + 2 y d y = 0$
Now integrating both sides we get,
$x^{3} + 2 x^{2} y + y^{2} = c$ . [ Where $c$ is integrating constant]

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