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- Consider the Cauchy-Euler equation t2y″−ty′+y=2t3. The fundamental solution set and the general solution areFind a general solution for the Cauchy Euler equation t2y''+7ty'+9y=0 if t>0.Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the recursion of the equation yn + 1 = yn + hf(xn, yn) by hand, first using h = 0.1 and then using h = 0.05. y′ = x2 + y2, y(0) = 3; y(0.5)