Question
Download Solution PDFThe solution of the differential equation
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
First Order Linear Differential Equation:
A differential equation of the from
Steps to solve a First Order Linear Differential Equation:
- Convert into the standard form
+ P × y = Q, where P and Q are constants or functions of x only. - Find the Integrating Factor (F) by using the formula: F =
. - Write the solution using the formula:
where C is the constant of integration.
Calculation:
⇒ P =
Integrating factor F =
The solution of the given differential equation is:
⇒ y = Cx - 3, which is the equation of a straight line.
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