If $y^{\text{'}}=\frac{x-y}{x+y}$, then its solution is

Important Questions on Differential Equations

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 76

Which of the following equation is non-linear?

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 77

Which of the following equation is linear?

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 78

Integrating factor of the equation $\left(x^2+1\right)\frac{dy}{dx}+2xy=x^2-1$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 79

The integrating factor of the differential equation $\left(x\log x\right)\frac{dy}{dx}+y=2\log x$ is

MEDIUM

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 80

An integrating factor of the differential equation $\left(1-x^2\right)\frac{dy}{dx}-xy=1$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 81

An integrating factor of the differential equation $x\frac{dy}{dx}+y\log x=x{\mathrm{e}}^x{x}^{-\frac{1}{2}\log x}, \left(x>0\right)$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 82

An integrating factor of the differential equation $\left(1+y^2\right)dx-\left({\tan }^{-1}y-x\right)dy=0$ is

EASY

MHT-CET

IMPORTANT

MHT-CET TRIUMPH Mathematics Multiple Choice Questions Part - 2 Based on Std. XI & XII Syllabus of MHT-CET>Chapter 8 - Differential Equations>Critical Thinking>Q 83

The solution of the differential equation $\frac{dy}{dx}+2y\cot x=3x^2{cosec}^{2}x$ is