Find an explicit particular sol'n of the initial value problem x*(dx/dy)-y=2x^2 *y.

Bernard Boyer

Bernard Boyer

Answered question

2022-07-26

Find an explicit particular sol'n of the initial value problem x ( d x / d y ) y = 2 x 2 y

Answer & Explanation

Jamarion Roth

Jamarion Roth

Beginner2022-07-27Added 13 answers

x ( d x / d y ) y = 2 x 2 y
x y = y ( 1 + 2 x 2 )
y / y = ( 1 + 2 x 2 ) / x this is a separable diff. eqn.
d y y = ( 1 + 2 x 2 ) x d x
d y y d y = ( 1 + 2 x 2 ) x d x = ( 1 x + 2 x ) d x
ln ( y ) = ln ( x ) + x 2 + c

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