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(2)
x=acost
dx/dt = -asint
y=bsint
dy/dt = bcost
dy/dx =(dy/dt)/(dx/dt) = -(b/a).cot(t)
d/dt ( dy/dx) = (b/a).csc(t). cot(t) = (b/a) [cost/(sint)^2]
d^2y/dx^2
=d/dt ( dy/dx) / (dx/dt)
= (b/a) [cost/(sint)^2] /(-asint)
=-(b/a^2) [cost/(sint)^3 ]
x=acost
dx/dt = -asint
y=bsint
dy/dt = bcost
dy/dx =(dy/dt)/(dx/dt) = -(b/a).cot(t)
d/dt ( dy/dx) = (b/a).csc(t). cot(t) = (b/a) [cost/(sint)^2]
d^2y/dx^2
=d/dt ( dy/dx) / (dx/dt)
= (b/a) [cost/(sint)^2] /(-asint)
=-(b/a^2) [cost/(sint)^3 ]
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