Verify that (xy2 -1) dx + (x2y) dy is exact and hence solve it.
Solve: dy/dx - y = e2x , y(0) = 7
The differential equation of motion of a simple pendulum is given as d2x/dt2 + g/l*x where x is the dependent variable and t is the independent variable. Find the displacement of the pendulum as a function of time t.
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