A-particle-is-moving-with-velocity-v-K-yi-xj-prove-that-y-2-x-2-constant-

Question Number 12185 by prakash jain last updated on 15/Apr/17

A particle is moving with velocity

v = K (y \hat{i} + x \hat{j})

p r o v e t h a t

y^{2} = x^{2} + c o n s t a n t

Answered by ajfour last updated on 16/Apr/17

\frac{d x}{d t} \hat{i} + \frac{d y}{d t} \hat{j} = K (y \hat{i} + x \hat{j})

K d t = \frac{d x}{y} = \frac{d y}{x}

\Rightarrow y d y = x d x

y^{2} = x^{2} + C

Commented by prakash jain last updated on 16/Apr/17

Thanks .