Need help with this Calculus problem

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kashh78

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Use separation of variables to solve the differential equation
1 minus y y apostrophe equals 7 x
with initial condition
y left parenthesis 0 right parenthesis equals negative 3
. Once you find the solution y(x) , evaluate y(1) (and pick the correct answer listed below, out of ten choices).

negative square root of 7

negative square root of negative 3 end root

negative square root of negative 7 end root

negative square root of 3

negative 2

negative square root of 5

negative 1

negative square root of negative 4 end root

negative square root of negative 5 end root

negative square root of negative 1 end root
 
kashh78 said:
Use separation of variables to solve the differential equation
1 minus y y apostrophe equals 7 x
with initial condition
y left parenthesis 0 right parenthesis equals negative 3
. Once you find the solution y(x) , evaluate y(1) (and pick the correct answer listed below, out of ten choices).

negative square root of 7

negative square root of negative 3 end root

negative square root of negative 7 end root

negative square root of 3

negative 2

negative square root of 5

negative 1

negative square root of negative 4 end root

negative square root of negative 5 end root

negative square root of negative 1 end root
Click to expand...
We cannot see any of the problems!

Please review and repost - showing your work and exactly where you are stuck.
 
IF the equation is 1- yy'= 7x then yy'= 1- 7x so ydy= (1- 7x)dx. Now just integrate both sides.

IF the equation is (1- y)y'= 7x then (1- y)dy= 7xdx. Again, integrate both sides.
 
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