Solve the following initial value problem: An initial value problem consisting of the differential equation dy/dx = y sin 2x and the initial condition y(0) = 1.

Q44 of 462 Page 23

Solve the following initial value problem:

Given differential equation

Find: Find the particular solution of this differential equation.

=

Integrating both side

=

= + C

Put y =1 and x=1

= + C

= 0 = C

= C =

So, + C

=

Hence, y =

42

Solve the following initial value problem:

43

Solve the following initial value problem:

45

Solve the following initial value problem:

45

Solve the following initial value problem: