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

contrast one example of how the community of mayberry is united and one example of how its divided

For the function, f(x) = -5x 2, find f(-4).

The temperature in Tampa Fonda is 15 degrees warmer than twice the temperature in Chicago, Illinois. The temperature in Tampa is 75 degrees. Write an equation

prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

What is the formula of titanium(IV) bromide?

If A || B and B | y, then ? A) X || y. B) X | A. C) A | Y. D) A || Y.

What name was given to the western European Christian church after the religious schism in 1054 CE?

Which of these places has the most variation in weather from season to season? A. South India B. Eastern China C. Western Australia D. Northern Canada

PLS HELP BRAINLIEST WILL BE AWARDED IF ANSWER IS CORRECT

Describe how the Fermi level changes with donor level, temperature and contact with p and n type semiconductors