MTH 256 Lecture Notes - Lecture 5: Sm U-10 (Austria-Hungary), Farad, Xu
22 Jan 2019
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Determine the interval on which the following ivp (initial value problem) has a unique solution: Ex. y0 = y1/3, y(0) = 0 separable. Iz g- at co , uniqueness is not guaranteed . Solutions ( it ) g- q y = pgegqz. In this case , depends on initial condition. Find the interval on which solution of the ivp y0 = y3, y(0) = 1 exists and is unique. i. ffx , y ) y solution exists coil : fy = Which the solution is defined . we have to solve the equation . # yeah because the initial condition is . To find the domain of the function y= is the solution to the equation. In some non-linear de"s there are ways to turn them into types we have already seen by using appropriate substitutions. A rst order di erential equation of the form y0 + p(x)y = f (x)yr is called a.
