Find the general solution for each of the following differential equations.
Given Differential Equation :
Formula :
i)
ii)
iii)
iv)
v) General solution :
For the differential equation in the form of
General solution is given by,
Where, integrating factor,
Answer :
Given differential equation is
………eq(1)
Equation (1) is of the form
Where, and
Therefore, integrating factor is
………
………
………
General solution is
………eq(2)
Let,
Put, cos x=t => -sin x dx = dt
………
Substituting I in eq(2),
Multiplying above equation by cos2x,
Therefore, general solution is