Unformatted text preview: NOT use a computer code to make the sketch. Exercise 4 : Show that the equation y 2 ty = 1 has solution y ( t ) = e t 2 t e s 2 ds + e t 2 . Exercise 5 : (a) Show that the one parameter family of functions ( x ; K ) := Ke 2 x is a family of solutions of the equation y = 2 y . (b) Find a constant A so that ( x ) A satises y + 2 y = 6. Check that, for this value of A , the two parameter family A + Ke 2 x also is a set of solutions of y + 2 y = 6. Due Date: Wednesday, Sept. 16, in class...
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- Spring '08
- Equations, Parametric equation, Prof. T. Angell, Department of Mathematical Sciences University of Delaware