CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Lesson: Exact Differential Equation
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Determine the constant ? such that the differential equation(??^2? + 2?^2)?? + (?^3+ 4??)?? = 0is exact and solve the resulting exact equation.
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- Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law, which shows the relationship among volume V, pressure p, and temperature T for a fixed amount 1 mole of a gas. But chemists believe that in many situations, the van der Waals equation gives more accurate results. If we measure temperature T in kelvins, volume V in liters, and pressure p in atmosphere 1 atm is the pressure exerted by the atmosphere at sea level, then the relationship for carbon dioxide is given by p=0.082TV0.0433.592V2atm What volume does this equation predict for 1 mole of carbon dioxide at 500 kelvins and 100 atm?Suggestion: Consider volumes ranging from 0.1 to 1 liter.arrow_forwardCalculus 2, answer the attached question pleasearrow_forwardts Find the correct direction feld for the differential equation ート ied)arrow_forward
- Differential equation:Solve the following equationsarrow_forwardObtain the differential equation. Classify the result according to order, degree and linearity. Circles touching the y-axis at the origin and the centers on the x-axisarrow_forwardGet the differential equation and classify the result according to order, degree and linearity. Circles tangent to the x-axis.arrow_forward
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