Solve the following Euler equation ry +7xy +9y=0 with initial conditions y(1) = 1 and y'...

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Solve the following Euler equation ry" +7xy +9y=0 with initial conditions y(1) = 1 and y' (1) = 5. 5pts: For the same equation (†) find a power series solution centered at 20=-1 with initial conditions y(-1) = 7 and y'(-1) = 9. Give a recursion relation of its general coefficients and then calculate these coefficients up to degree four. Solve the following Euler equation ry" +7xy +9y=0 with initial conditions y(1) = 1 and y' (1) = 5. 5pts: For the same equation (†) find a power series solution centered at 20=-1 with initial conditions y(-1) = 7 and y'(-1) = 9. Give a recursion relation of its general coefficients and then calculate these coefficients up to degree four.