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Calculus, EXT1 C3 2020 HSC 11e

Solve  `(dy)/(dx) = e^(2y)`, finding `x` as a function of `y`.  (2 marks)

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`x = −1/2 e^(−2y) + c`

Show Worked Solution
`(dy)/(dx)` `= e^(2y)`
`(dx)/(dy)` `= e^(−2y)`
`x` `= int e^(−2y)\ dy`
`:. x` `= −1/2 e^(−2y) + c`

Filed Under: Equations, Equations and Slope Fields, Equations and Slope Fields Tagged With: Band 3, smc-1197-20-Differential Equations, smc-1197-40-\(\dfrac{dy}{dx}=f(y)\), smc-5161-50-\(\dfrac{dy}{dx}=f(y)\), smc-7296-20-Differential Equations, smc-7296-40-\(\dfrac{dy}{dx}=f(y)\)

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