engineering recuitment GATE ECE 2023-24 Test Series Engineering Mathematics Differential Equations Cauchy's Equation
Consider the homogeneous ordinary differential equation \({x^2}\frac{{{d^2}y}}{{d{x^2}}} - 3x\frac{{dy}}{{dx}} + 3y = 0,\) x > 0 with y(x) as a general solution. Given that y(1) = 1 and y(2) = 14 the value of y(1.5), rounded off to two decimal places, is ______.
Enter numerical value using the virtual keypad. Round off where necessary.