Question

anti derivative of 3/x?

Answer 1

=integral 3*1/x = 3 ln x

Answer 2

actually 3 ln |x|

Answer 3

so with or without absolute sign?

Answer 4

with

Answer 5

can any of you help me onsome differential equation problems?

Answer 6

idk but ill give it a shot

Answer 7

solve the initial value problem of y'=xe^y-2e^y if y(0)=0

Answer 8

already confused
sorry cant help you

Answer 9

thats ok

Answer 10

\[y'=xe^y-2e^y \]
\[y'=e^y(x-2)\]
\[\frac{dy}{dx}=e^y(x-2)\]
\[dy=e^y(x-2)dx\]
\[\frac{dy}{e^y}=(x-2)dx\]
Integrate both sides! :)

Answer 11

\[\int\limits_{}^{}e^{-y} dy =\int\limits_{}^{}(x-2)dx\]

Answer 12

\[-e^{-y}=\frac{x^2}{2}-2x+C\]

Answer 13

Now apply initial condition to find C

Answer 14

replace x with 0 and replace y with 0
and solve for C