quation dy/dx = (x^2 + y^2)/(xy). I follow all of its steps until this step: (v^2)/2 = ln (x) + C. However, in the next step the example states that C = ln(k), and it follows to write the top equatoin as: (v^2)/2 = ln (x) + ln(k). Where is this natural log comming from??? Thanks!
quation dy/dx = (x^2 + y^2)/(xy). I follow all of its steps until this step: (v^2)/2 = ln (x) + C. However, in the next step the example states that C = ln(k), and it follows to write the top equatoin as: (v^2)/2 = ln (x) + ln(k). Where is this natural log comming from??? Thanks!
quation dy/dx = (x^2 + y^2)/(xy). I follow all of its steps until this step: (v^2)/2 = ln (x) + C. However, in the next step the example states that C = ln(k), and it follows to write the top equatoin as: (v^2)/2 = ln (x) + ln(k). Where is this natural log comming from??? Thanks!
I am looking at an example on homogeneous differential equations. I do not understand one part of this example. The example is solving the differential equation dy/dx = (x^2 + y^2)/(xy). I follow all of its steps until this step: (v^2)/2 = ln (x) + C. However, in the next step the example states that C = ln(k), and it follows to write the top equatoin as: (v^2)/2 = ln (x) + ln(k). Where is this natural log comming from??? Thanks!
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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