Q1 of 462 Page 22

For each of the following initial value problems verify that the accompanying function is a solution:


Function: y = log x

Verification:


y = log x


Differentiating both sides we get,





Multiplying x on both the sides




Also, at x=1, y should be equal to 0. Let’s check it out.


At x=1, y=log (1)=0. (Hence the initial value condition is also satisfied)


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Show that y = e–x + ax + b is solution of the differential equation

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For each of the following differential equations verify that the accompanying function is a solution.

Differential equation


i.


ii.


iii.


iv.


v.


Function






 2

For each of the following initial value problems verify that the accompanying function is a solution:


Function:

3

For each of the following initial value problems verify that the accompanying function is a solution:


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