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Given function f(x)=4x3-5, g(x)=2x and h(x)=x2. Find composition of h◦(g◦f)

Define g: R→R by the rule g(x)=4x-5 for all real number x. Find g-1(y)

Solve (ye^xy+1)dx+(xe^xy+2)dy=0,y(0)=0

Solve x^3y^'''+5x^2y^''+7xy^'+8y=t+e^(-t)

(x^2+1) y^''+2xy^'=0 Solve for two power series solution about ordinary point x=0

A differential equation governing the velocity v of a falling mass m to air resistance proportional to the square of the instantaneous velocity is m dv/dt=mg-kv^2 where k>0 is a constant of proportionality. The positive direction is downward. (a)Solve the...

Compute the Fourier series of f(x)=x+|x|,-π≤x≤π

steve how u got that solution?