How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants) How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants)

Question

Mathematics

Crystal Parks

1 March, 06:58

How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants) How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants)

+4

Answers (1)

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Lilliana Hester · Answer 1

Since the k and h are constants therefore this differential equation is a variable separable D. E. In order to solve this D. E. we need to group together terms with the same variable, that is,

dP / (kP-h) = dt

perform integral on both sides of the equation, we obtain

(1/k) * ln (kP - h) = t + C

Since we are not given limits to the equation, it is best to put C or the constant term in any side of the equation.

How do you calculate the explicit solution to dP/dt=kP-h?(k and h are positive constants) How do you calculate the explicit solution to dP/dt=kP-h?(k and h are positive constants)

How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants) How do you calculate the explicit solution to dP/dt=kP-h?

(k and h are positive constants)