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 - x² + c); (b) ln|2y+1| = 6x - 2x ln x + 2x + D

HCI Differential Equations Tutorial Q2

HCI Differential Equations Tutorial Q2

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