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Chapter 8: Q 13-28MP (page 466)

Question: In Problems 25to 28, find a particular solution satisfying the given conditions.

when x = 1

Short Answer

Expert verified

The solution of given differential equation is .

Step by step solution

01

Given information.

The differential equation is .

02

Differential equation.

When fand its derivatives are inserted into the equation, a solution is a function y = f(x) that solves the differential equation. The highest order of any derivative of the unknown function appearing in the equation is the order of a differential equation.

03

Find the solution of the given differential equation.

Consider the equation.

Suppose yy' = u then,

Substitute the values in above equation.

Integrate above equation.

Substitute yy' for u in above equation.

Integrate above equation.

Substitute 3 for y, 0 for y' and 1 for x in Equation (1).

Substitute 3 for y, 4 for c and 1 for x in Equation (2).

Substitute 4 for c and 5/2 for d in Equation (2).

Thus, the solution of given differential equation is .

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