If for some and for all

MATHEMATICS · Subjective · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

If

h(x_0)=0

for some

x=x_0

and

\frac{d}{dx}h(x)>2cxh(x)

for all

x\ge x_0

, where

c>0

, then prove that

h(x)

cannot be zero for any

x>x_0

.

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