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

how is food transported I plants.

Kate was responsible for hiring a fireworks company to put on a show at the end of the local college team's homecoming game. When a student was hurt from a fall

Is morphine a hallucinigenic drug?

Can anyone complete this sentence by adding 3 more sentences? It was nice to pick up the trash today.

what is the formula for iron(ii) cyanide

What is "Whitman-esque" about the imagery of "Smoke and Steel"? the slow buildup of energy and urgency in each stanza the vivid energy and focus on the physical

2. Sixty percent of the students preferred raisins to banana chips. If there (58) were 95 students in all, how many preferred banana chips?

What is an example of oxidation in the forest? 1. Combustion 2. Decomposition 3. Chemical reactions PLEASE HELP I WILL GIVE BRAINLIEST

Mary thinks that the world evolved. facr or opinion

please I need help!!!!