If a nonhomogeneous linear differential equation has g (x) = sin 5a particular solution? O A sin Br O A sin 5x O A cos 5x + B sin 5x 5 sin Ax

Q: 1) Verify that the indicated function y = −(cos x) ln(secx + tanx) is an explicit solution of the…

A: First we will find y" Then put value of y" and y in   y"+y = tanx If we get  LHS =RHS then it means…

Q: Show that the function: y = -xcos (x) – x is a solution to the differential equation: dy :) = y + x²…

A: Let's find.

Q: Particular Integral for the differential equation ( D +D+4)y =sin2x is given by cos2x a. O b. cos2x…

A: By the using rule of particular Integral we can find integral

Q: Consider the initial value problem (2xy² + cos x cosy) dx + (2x2y- sinx siny) dy = 0 and y(0) = 1…

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.