A particle following a curve is spotted at the point (e^(t),sint). (a) Write down the cartesian...

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A particle following a curve is spotted at the point (e^(t),sint). (a) Write down the cartesian equation of its path. (b) Hence, show that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0. A particle following a curve is spotted at the point (e^(t),sint). (a) Write down the cartesian equation of its path. (b) Hence, show that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0.