Consider the differential equation dydx=6x, dydx=6x, with initial condition y (0) = 4y (0) = 4.

a. use euler's method with two steps to estimate yy when x=1x=1: y (1) ≈y (1) ≈ equation editorequation editor

Formatting is kind of messed up. I'm assuming the differential equations is dy/dx = 6x

You need to get all the x's on one side and y'all on the other.

dy = 6x dx

Integrate both sides.

y = 3x^2 + C

Now plug in the given values

y (0) = 4 = 3 (0) ^2 + C

C = 0

y = 3x^2

Plug 1 in for x to find the value of y (1)

y (1) = 3 (1) ^2 = 3