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
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Answer:
Formatting is kind of messed up. I'm assuming the differential equations is dy/dx = 6xYou 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
solved
general
5 months ago
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