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

The difference of seven halves and six quarters is multiplied by negative two fifths. Find this rational number.

which of the following is a risk specific to online gaming?A. chatting with people you don't knowB. role-playingC. personal powerD. community building

Damari inflates a spherical balloon to twice its original radius. Explain to Damari why the surface area is 4 Tims as big when the radius is doubled.

one out of 44 high school ball player plays college ball. one out of 23 college players plays professional ball. What fraction of high school player plays profe

A $20,000 deposit was placed in a bank paying 5.75% interest compounded quarterly. After 12 months, how much interest was earned.

how does friction affect brick structures

what is answer to 12=4x what is x

What is an Honorific?

how does climate affect the type of biome found in an area?

What are Gender Neutral Pronouns?