Find the integrating factor of the differential equation x\frac{\mathrm{d} y}{\mathrm{d} x}-2y=2x^2

 

 

 

 
 
 
 
 

Answers (1)

x\frac{\mathrm{d} y}{\mathrm{d} x}-2y=2x^2

\frac{\mathrm{d} y}{\mathrm{d} x}+Py=Q

  then IF=e^{\int Pdx}

\Rightarrow P=\frac{-2}{x}\: \: \: \: Q=2x

     Now          IF=e^{\int \frac{-2}{x}dx}

IF=e^{-2\log x}\Rightarrow e^{\log (x)^{-2}}\: \Rightarrow x^{-2}

\therefore IF=\frac{1}{x^2}

 

Most Viewed Questions

Related Chapters

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions