5. To solve the initial value problem dy t + y(t) = t sint, t> 0 y2) = 1, dt a. Find the complementary solution

Q: (3) Solve the Initial Value Problem, dy dx solution. = xy(2), y(0) = 4. Give the explicit

A:

Q: c) Solve the initial value problem (1 + cos² t). 21) dx dt - x sin 2t = 4t² + 5t +4, x(0) = 2

A:

Q: 2. Find all solutions: dt dy dx = 4x + y x + 4y' x > 0.

A:

Q: c) Solve the initial value problem dx - x sin 2t = 2t² + 2t + 2, x(0) = 0 dt (1 + cos² t)-

A:

Q: C) Solve the initial value problem dx (1 + cos² t). 1) x sin 2t = 2t² + 3t + 5, x(0) = 0 dt -

A:

Q: (ztan 2 +1) dx – x dy = 0

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.