If x=aet(sint+cost)and y=aet(sint−cost),prove that dxdy=x−yx+y˙

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If {x}={a}{e}^{{t}}{({{{t}}}+{{{t}}})}and {y}={a}{e}^{{t}}{({{

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If $x = a e^{t} (sin t + cos t)$ and $y = a e^{t} (sin t - cos t),$ prove that $\frac{d y}{d x} = \frac{x + y}{x - y} ˙$

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Charlotte Discussed

x = a e^{t} (sin t + cos t)

and

y = a e^{t} (sin t - cos t),

prove that

\frac{d y}{d x} = \frac{x + y}{x - y} ˙

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Question Text

x = a e^{t} (sin t + cos t)

and

y = a e^{t} (sin t - cos t),

prove that

\frac{d y}{d x} = \frac{x + y}{x - y} ˙