Decide first if the following Differential equation is exact. If exact then find the solution z(1 – sin y)dy = (cos z – cos y – y)dz

Q: Solve the exact differential equation: (2y sin x cos x – y + 2y?e*y)dx = (x – sin? x – 4xye*y')dy

A:

Q: You are given the following differential equation:  d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  What is…

A: Answer I have break the solution in 4 parts a , b, and d  Required answer is in D parts  So go…

Q: Solve the following Exact Differential equation. (x + sin y)dx + (x cos y - 2y)dy = 0

A: We have to find the solution of the exact differential equation .

Q: Solve the following differential equations, giving y in terms of x. dy (iii) cotx + 2y = sin 2x. dx

A: Let us consider a differential equation of the form dydx+Py=Q where P and Q are function of x  To…

Q: Solve the following separable differential equation: dy xy y(0) = 4. dx 1+ x2 '

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.