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21-07-2016
Mathematics

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

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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

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