Unformatted text preview: h ( u, t ) so that h t = u 3 , h u = 3 tu 2 . If we integrate the ﬁrst equation with respect to t we get h = tu 3 + ` ( u ) . Thus we have 3 tu 2 = h u = 3 tu 2 + ` ( u ) which implies ` ( u ) = 0 so we take ` ( u ) = 0. Our answer is tu 3 = C ....
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- Fall '05
- Math, Boundary value problem, Pure Time Equation