Ordinary Differential Equation

2014-02-21 7:34 pm
Find the particular solution of the d.e.

y'=cos2x

which satisfies the condition that y = 2 when x = 0.

回答 (1)

2014-02-21 10:35 pm
✔ 最佳答案
y'=cos2x

dy/dx = cos2x

∫dy = ∫cos2xdx

y = (1/2)∫cos2xd(2x)

y = (1/2)sin2x + C

y(0) = 2

==> C = 2

y = (1/2)sin2x + 2


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