Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • The general solution of a differential equation of the type dx/dy + P 1 x = Q 1 is (A) (B) (C) (D)

Q17.    The general solution of a differential equation of the type \frac{dx}{dy} + P_1 x = Q_1 is 

            (A)    ye^{\int P_1 dy} = \int \left(Q_1 e^{\int P_1 dy} \right )dy +C

            (B)    ye^{\int P_1 dx} = \int \left(Q_1 e^{\int P_1 dx} \right )dx +C

            (C)    xe^{\int P_1 dy} = \int \left(Q_1 e^{\int P_1 dy} \right )dy +C

            (D)    xe^{\int P_1 dx} = \int \left(Q_1 e^{\int P_1 dx} \right )dx +C

Answers (1)

best_answer

Given equation   is
\frac{dx}{dy} + P_1 x = Q_1
and we know that the general equation of such type of differential equation is

xe^{\int p_1dy} = \int (Q_1e^{\int p_1dy})dy+ C
Therefore, the correct answer is (C)

Posted by

Gautam harsolia

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 Chemistry Exam Analysis 2025: Paper 'moderately difficult' but well balanced
anam-khan

CBSE Class 12 board exam still once a year; 20 lakh expected to appear in 2026 from February 17
anam-khan

CBSE board exams twice a year from 2025-26; 2 subject groups, 'better of two marks' in draft policy

Latest Question