Solve the differential equation $\left( 1+{{x}^{2}} \right)\frac{\mathrm{d}y}{\mathrm{d}x}-2xy=x$, e

Question

Solve the differential equation $\left( 1+{{x}^{2}} \right)\frac{\mathrm{d}y}{\mathrm{d}x}-2xy=x$, expressing $y$ in terms of $x$. Hence, sketch the particular solution curve which passes through the origin. [8]

Accepted Answer

$y=\dfrac{1}{2}x^{2}$

2024 TGM March Holiday Test Q1

2024 TGM March Holiday Test Q1

Video Solution:

Solution:

Solution locked