For Problems 28–32, show that the given relation defines an implicit solution to the given differential equation, where c is an arbitrary constant. e x y − x = c , y ′ = 1 − y e x y x e x y . Determine the solution with y ( 1 ) = 0 .
For Problems 28–32, show that the given relation defines an implicit solution to the given differential equation, where c is an arbitrary constant. e x y − x = c , y ′ = 1 − y e x y x e x y . Determine the solution with y ( 1 ) = 0 .
Solution Summary: The author explains the differentiation law for the exponential function, exy-x=c, and the product law in differentiation.
Find the general solution for y''' − y'' + y' − y = 0
3. Find the differential equation of a family of parabolas with axis parallel to the x-axis.
y is realted to x through the differential equation:
da
ax+b
and y 1.8 when x = 0
-
where a = 0.02, b = 0.02
Find y when x = 3 to three decimal places.
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