Question: In Problems , solve the equation.
The solution of the given equation is
Definition of Initial Value Problem: By an initial value problem for an nth-order differential equation we mean: Find a solution to the differential equation on an interval I that satisfies at x0 the n initial conditions
Where and are given constants.
Formulae to be used:
Evaluate the equation (1).
Let us take .
Now integrate the equation (2) on both sides.
Substitute the value of t.
Hence, the solution of the given initial value problem is .
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