(x² + 2xy- 4y?)dx- (x² – 8xy– 4y²)dy=0 | O x² + 4y² = C(x + y) O x2 +y2 = C(x+ 4y) O x2 + 2y? = C(x + y) O 2x2 + y? = C(x +2y)

Q: Solve the differential equation: y = 3x +log P.

A: Given equation is y=3x+log P Let us consider P as a constant and then dydx=ddx(3x + log…

Q: y" + 4y = sin ³x

A: We need to solve D.E.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: y(4) 4х + 2хе %3D

A:

Q: dу ху+2у- х-2 dx xy- 3y+ x-3

A:

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.