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Apply fraction cross-multiplication
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$2\sqrt{p}dp=dt$
Learn how to solve problems step by step online. Solve the differential equation dp/dt=1/(2p^1/2). Apply fraction cross-multiplication. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int2\sqrt{p}dp and replace the result in the differential equation. Solve the integral \int1dt and replace the result in the differential equation.