A solution of the equation (t cos t – sin t)x" + a'(t sin t) – x sin t = 0 is x(t) = t. Find second linearly independent solution. a

Q: S2 cos (w - Sec W tan (w) dw

A:

Q: f(i) = 5, f'(i) = -3i, g(i) = 3i, and g'(i) = 4. Find (fg)'(i).

A: Given fi=5,f'i=-3i,gi=3i,g'i=4. Find fg'i.

Q: sin X 1/ガースゴ+スコービsinx

A: Given differential equation is  y" -3y' +2y=e^x sinx

Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: Solve 8(t – nt)cos(-) dt

A: Given integral is ∫-∞∞δt-πtcos1Tdt

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.