y' = a(t)b(y), a(t) & bly) continuous in R and a(t) not identically a) bly) is not of class C equation has no solutions b) y (t) = yo is a solution defined in Ralyo)=0 c) the equation has no constant solutions zero. It's true that d) there exists to such alto) = 0 y(t) = to is a solution defined in B e) p(t)=yo is a solution defined in R blyo) = 0 R

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A: Definition used -            Chain rule of derivative -                             ddx(f(g(x))=…

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Q: 1. If f(x, y)=3x' cos y– y sin x– 2.x In y- yln x-4x²y, find ôf ôf d²ƒ _ô²ƒ

A: According to question given thatf(x,y)=3x3 cosy-y2 sinx-2x ln(y)-y ln(x)-4x2y

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A: Explaination of the answer is as follows

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Q: Solve J²u = Ət² u (0, t) = u (x, 0) = J²u 4- 2 მ2 u (π, t) = 0 sin (2x), 0 0 (x, 0) = 0 Ju Ət

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A: This is a problem from Reimann Stieltzes Integral

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A: Solve Legendre differential equation by series solution.

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