If the first-order linear differential equation dy/dx +...

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Transcript

00:01 Here the given function is dy by dx plus p of x multiply y equal to q of x.

00:10 So, assume that the solution to this equation is a constant function is y of x equal to c.

00:19 Then taking the derivative of y of x with respect to x that would be dy by dx equal to 0.

00:27 Now, substitute the value of y of x equal to c y of x equal to c and dy by dx equal to 0 into the differential equation...

Question

If the first-order linear differential equation dy/dx + p(x)y = q(x) has a solution that is a constant function, then q(x) is a constant multiple of p(x). Select one: True False

Question

If the first-order linear differential equation dy/dx + p(x)y = q(x) has a solution that is a constant function, then q(x) is a constant multiple of p(x). Select one: True False

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