MAT136H1 Lecture 14: MAT136- Lecture 14
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14 focus : differential equations differential equation : an equation that relates a function and its derivatives also of order higher than. 2 we know explicitly the derivative to solve the equation we compute an anti derivative we know how the derivative behaves it respect to the function e. g . a =kx y= Ce infinite families of solutions as for the anti derivatives also in this case we can have infinite families of solutions for the differential equation however in this case we cannot simply add a constant differential de dy. Ce y = of thx solutions y= a coslwx. O ) t b sinfwx- ul ! Xo and yo are known , we may or may not select one solution family of anti derivatives solving for. " -_x2 y by imposing initial condition y. By imposing initial condition yoko we don"t select a unique solution: # am . pl. The population of a town grows at an annual rate or.
