y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into variables as follows: b) By integrating both sides of the equation, obtain the general solution closed: (When integrating, do not move any terms from one side of the equation to the other.)

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A: In this question,  we solve given DE by substitution methode i. e.  We put some terms in the form of…

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Q: xdy – ydx – Vx²-y²dx = 0 хау — %3D

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below

Q: Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

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Q: Use the integrating factor method to solve 2xy + y = 2x5/2

A: Please find attachment

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Q: (6x+y^2)dx+y(2x-3y)dy=0 solve using exact equations (diff eq)

A: I am attaching image so that you understand each and every step.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.