Solve the equation Solve the equation At 2:00pm a thermometer reading 80digreeF
ID: 2982828 • Letter: S
Question
Solve the equation Solve the equation At 2:00pm a thermometer reading 80digreeF is taken outside where the air temperature is 20digreeF. At 2:03pm, the temperature reading yielded by the thermometer is 42digreeF. Later, the thermometer is brought inside where the air is at 80digreeF. At 2:10pm,the reading is 71digreeF when was the thermometer brought inside? Solve the Cauchy - Euler equation using the substitution t = lnx Solve the equation y - 2y + y = 2 - 24ex + 40e5x subject to the following initial conditions y(0) = 1/2, y(0) = 5/2, and y(0) = -9/2.Explanation / Answer
1) dy/dx = - x/(x^2-y) dx/dy = -x + x/y (dx/dy) -x/y = -x this is form of differtial eq dx/dy + Px = Q (P,Q are constant or function of y) and its solution is x.e^P = INTEGRATION OF Q.e^P here P=-1/y and -x
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