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

Can someone please help me ASAP with English please!??

His lawyer suddenly interrupted my thoughts questions by busting out what is wrong with this sentence

The muscular system and the nervous system work together by

A car tire company is testing a new tire that they promote as having improved speeds under wet conditions. An experiment was performed on a wet, closed, half-mi

BRAINLIESTTTT ASAP!!!! Write a paragraph describing what the symbols and image(s) you chose for your square mean to you. ( THE SQUARE IS THE PICTURE I ATTACHED)

Marissa is testing a hypothesis through experimentation. She believes that immersing ocean coral in carbonic acid will slow the coral’s growth. Which of these a

Who designed the District of Columbia?

The owner of a retail store is tracking his inventory for an annual report. The graph below shows the remaining inventory for a particular item and the number o

Which relation is displayed in this table? x y

6^2r=800 round it to the nearest hundreth