Question: Consider the following initial value problem, (4x2)y 5xy10y=0,y(0)=0,y(0)=6. Note: For each part below you must give your answers in terms of fractions (as appropriate), not

Consider the following initial value problem, (4x2)y 5xy10y=0,y(0)=0,y(0)=6. Note: For each part below you must give your answers in terms of fractions (as appropriate), not decimals. (a) This differential equation has singular points at x= Preview Note: You must use a semicolon here to separate your answers. (b) Since there is no singular point at x=0 , you can find a normal power series solution for y(x) about x=0 , i.e., y(x)=m=0amxm. As part of the solution process you must determine the recurrence relation for the coefficients am . Enter your expression for am 2

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