Show that the technique of separation of variables is applicable by writing the differential equation in the form =
g(x).
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Question

Show that the technique of separation of variables is applicable by writing the differential equation in the form  =
g(x).
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Quizplus · Accepted Answer

The technique of separation of variables involves writing the differential equation in the form y' = g(x)/f(y), where y represents the dependent variable and f and g are functions of y and x respectively. Looking at the given differential equation, we can rearrange it to get y' = (11ebb6d7_488a_c5bc_b437_87ed89a719c6_TB8593_11/g(x)). Therefore, the technique of separation of variables is applicable when the differential equation is written in the form y' = g(x)/f(y). The correct answer is choice C.

Show That the Technique of Separation of Variables Is Applicable