Solve the differential equations y2 = (x – c)3

Asked by Aaryan | 1 year ago |  87

##### Solution :-

From the question it is given that,

y = emx … [equation (i)]

Now, differentiate the equation (i) with respect x,

$$\dfrac{dy}{dx}$$= memx

We know that, from equation (i) y = emx

So, applying log on both side we get,

log y = mx

m = $$\dfrac{logy}{x}$$

Now, substitute the value of m and emx is equation (i) we get,

$$\dfrac{dy}{dx}$$$$( \dfrac{logy}{x})y$$

By cross multiplication we get,

x($$\dfrac{dy}{dx}$$) = y log y

Answered by Aaryan | 1 year ago

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