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Differentiating both sides with respect to x, we get:
Multiplying equation (1) with 2 and then subtracting it from equation (2), we get:
y'−2y= (2a+2bx+b)− (2a+2bx)
⇒ y'−2y= ...(3)
Differentiating both sides with respect to x, we get:
y''-2y'= ...(4)
Dividing equation (4) by equation (3), we get:
This is the required differential equation of the given curve.
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