using euler’s method with a step size of h=0.5, estimate the value for y(3) for the differential equation xy dy/dx= 1+ln(x^2), with y(2)=5.a. 5.352b. 5.230c. 5.238d. 5.233

Euler's method uses the recurrence relation



to approximate the value of the solution to the ODE .



With a step size of , there will only be two steps necessary to find the approximate value of based on the initial point . See the attached table below for the computation results.

To demonstrate how the table is generated: Since , you are using .





The next point then uses

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14 estimated and 13.62 exacti’m pretty sure..