Find the general solution of the differential equation $\frac{\mathrm{d}y}{\mathrm{d}x}+2x{{y}^{2}}=

Question

Find the general solution of the differential equation $\frac{\mathrm{d}y}{\mathrm{d}x}+2x{{y}^{2}}=1-2x+{{y}^{2}}$. [4] Find the general solution of the differential equation $\frac{\mathrm{d}y}{\mathrm{d}x}+2y\ln x-3=6y-\ln x$. [4]

Accepted Answer

(a) $y=\tan(x-x^2+C)$ (b) $y=-\dfrac12+C\mathrm e^{8x-2x\ln x}$, $x>0$

HCI Differential Equations Tutorial Q2

HCI Differential Equations Tutorial Q2

Video Solution:

Default solution