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(Solved): Making Equations Separable Many difierential equations that are not separable can be made separabl ...



Making Equations Separable Many difierential equations that are not separable can be made separable by making a proper substiApply this method to solve the Euler-homogeneous DEs and IVPs in Problems 41-44. Plot sample solutions on a direction field a

Making Equations Separable Many difierential equations that are not separable can be made separable by making a proper substitution. One erample is the class of first-order equations with right-hand sides that are functions of the combination (or . Given such a called Euler-homogeneous. let . By the productrule, we deducefrom that so the equation becomes which separates into Apply this method to solve the Euler-homogeneous DEs and IVPs in Problems 41-44. Plot sample solutions on a direction field and discuss. 41.


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Given differential equation dydt=y+tt=yt+1____(1)Here f(yt)=yt+1by Euler homogeneous method, let v=yt?y=vt
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