Question: In Problems 1-30, solve the equation.
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:
Find the value of .
Multiply in equation (1) on both sides.
Now integrate the equation on both sides.
Find the value of separately.
Let us take and .
Now substitute in equation (2)
Hence, the solution of the given initial value problem is
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