I6sawserikarine I6sawserikarine

21-07-2016
Mathematics

contestada

Find the solution of the differential equation dP/dt = sqrt(P*t) that satisfies the initial condition P(1)=5. Answer: P(t) = ....

Respuesta :

meerkat18 meerkat18

22-07-2016

sqrt of (1/P) = √t dt

integrate both sides and use initial conditions2(5)^1/2 = 2/3(1)^3/2 + C
C = 2√5 −2/3
therfore
P(t) = (2/6 t ^2/3+√5 −2/6)^2

Answer Link

Otras preguntas

Which of the following statements correctly explains economic conditions in the North during the Civil War?

How do positive and negative particles interact

What is the process of making proteins; consists of transcription and translation

will use 3/4 cup of olive oil to make 3 batches of salad dressing .how much oil does Will use for one batch of salad dressing?

explain intersecting, perpendicular, and parallel

What does intonation refer to

Which describes the advantage of asexual reproduction by a spore? A. lies dormant for an extended period of time B. must be moved by animals C. is hea

What is -4m= 1.75 what is m and what would it be if it was 4m= 1.75 instead of negative? Please explain work

Examples of a reaction force

Provide 2 reasons why are people hesitant to report corruption