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Question

The solution of dydx+2x=e3x is:

A
y=3e3xx2+c
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B
y=e3x3x2+c
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C
y=e3xx2x+c
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D
y=e3xx2+c
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Solution

The correct option is A y=e3x3x2+c
dydx+2x=e3x

dy=(e3x2x)dx

dy=e3xdx2xdx

y=e3x32x22+c

y=e3x3x2+c

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