Question

If someone can help me with this ODE I would greatly appreciate it. Thank you in advance!

------

Consider the differential equation

dx/dt = 1/2x

This is a separable O.D.E., so we know how to find all of its solutions: they are of the form

x(t) = sqrt(t+c)

where C is a constant. Imposing the initial condition x(1) = 1 fixes C = 0. Then we have x(2)= sqrt(2)

Use Euler's method with h = 1/2 to find an approximation to sqrt(2).

Provide a numeric answer rounded to two decimal places.
1/4

Related Questions

Which evidence supports the idea that Cosmic Microwave Background radiation is a remnant of the Big... What is the superlative form of the adjective great? A. greater B. most greatly C. great... Which evidence supports the idea that Cosmic Microwave Background radiation is a remnant of the Big... Which evidence supports the idea that Cosmic Microwave Background radiation is a remnant of the Big...