Find the particular solution of the differential equation x { {\dy}}/{ {\d} x}- {\y}=x^2 \cdot {\e}^x, given {\y}(1)=0. OR Find the general solution of the differential equation x { {\dy}}/{ {\d} x}= {\y}(\log {\y}-\log x+1).

CBSE Class 12 Math 2022 (Term II) Outside Delhi Set 1 Solved ...

Question : 8 of 14

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Find the particular solution of the differential equation

x \;{ {\dy}}/{ {\d} x}- {\y}=x^2 ⋅ {\e}^x

, given

{\y}(1)=0

.
OR
Find the general solution of the differential equation

x \;{ {\dy}}/{ {\d} x}= {\y}(\log {\y}-\log x+1)

Solution:

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