  # One solution of the differential equation y" +y' = O is y = e. Use Reduction of Order to find a secondlinearly independent solution.O y eОу-хе*Оу-ехO y cОу-ех

Question

Help help_outlineImage TranscriptioncloseOne solution of the differential equation y" +y' = O is y = e. Use Reduction of Order to find a second linearly independent solution. O y e Оу-хе* Оу-ех O y c Оу-ех fullscreen
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Step 1

In such problems ie second order linear differential equations when we are given one solution,y1 we assume the second solution to be of the form, y2=vy1 and substitute y2 in the given ode and reduce order of the differential equation by using the fact that y1 is a solution.

Compute:y2,y2’’

Step 2

Substitute y2,y2’’ in given differential equation

Step 3

Let u=v’ we get a first order dif...

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### Calculus 