Differential Equations Solved Examples: Solve the following exact differential equation. ( 6xye^(2y) + 4x^3 ) dx + ( 3x^2 e^(2y) + 6x^2 ye^(2y) - 2sin(2y) ) dy = 0

Friday, October 20, 2017

Solve the following exact differential equation. ( 6xye^(2y) + 4x^3 ) dx + ( 3x^2 e^(2y) + 6x^2 ye^(2y) - 2sin(2y) ) dy = 0

Question.

Solve the following exact differential equation.

( 6xye^2y + 4x³ ) dx + ( 3x²e^2y + 6x²ye^2y - 2sin(2y) ) dy = 0

Solution:

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