b) Solve the following differential equatión . = 1 + Sin x + 4x dy +2y dx dx

Q: d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  What is the complementary function of this differential…

A:

Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

A:

Q: d’y (b) dx + y =: dx 1+x

A:

Q: (xy cos.xy +sin xy)dx +(x² cos.xy +e' )dy=0.

A: We have to solve given problem:

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.