# MATA36H3 Lecture 15: separation

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## Document Summary

Ode is an equation that defines ycx ) implicitly , mix x y . derivations of y. Typically , not possible to solve y ex ) Separable equation easiest type of ode fix ) . err some expression with y. Some expression with x g cos cxy: x sin cxy) I side y x on the other side. F view y variable as fix )dx vids t. Ah initial condition could be give such as yw ) C cause we already know the x and in this equation y. T dtc try co solve for y. " n" y e ly , e ? et. D - cxti ) (x - 1) cy - d = dydx i f , dy = I y - y e change this to. X y - i y=cee- ti general solution. Y - xy with ye - d= - i x i. I e i . y=ze - particular solution: cosy dxtclte.