Solve

Guides

0

You visited us 0 times! Enjoying our articles? Unlock Full Access!

Question

If $y = x log (\frac{x}{a + b x})$ , prove that $x^{3} \frac{d^{2} y}{d x^{2}} = (x \frac{d y}{d x} - y)^{2}$
True
False

A

True

B

False

Open in App

Solution

Verified by Toppr

Was this answer helpful?

60

Similar Questions

Q1

If

y = x log (\frac{x}{a + b x})

, prove that

x^{3} \frac{d^{2} y}{d x^{2}} = (x \frac{d y}{d x} - y)^{2}

View Solution

Q2

If

y = x log (\frac{x}{a + b x})

prove that

x^{3} \frac{d^{2} y}{d x^{2}} = {(x \frac{d y}{d x} - y)}^{2}

View Solution

Q3

If

(a x + b) e^{y / x} = x

or,

y = x log (\frac{x}{a + b x})

, prove that

x^{3} \frac{d^{2} y}{d x^{2}} = {(x \frac{d y}{d x} - y)}^{2}

.

View Solution

Q4

If

y = log (\frac{x}{a + b x})^{x}

, prove that

x^{3} \frac{d^{2} y}{d x^{2}} = (x \frac{d y}{d x} - y)^{2}

View Solution

Q5

If

(a + b x) e^{y / x} = x

, then prove that

x^{3} \frac{d^{2} y}{d x^{2}} = {(x \frac{d y}{d x} - y)}^{2}

View Solution