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Solve using Linear Equation and Bernoulli's 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.Obtain the Differential Equation of the family of plane curves. 1. Straight lines through the fixed point (h,k); h and k not to be eliminated Show solution, sketch and pls write in a legible hand writtingDetermine the differential equation of the family of lines with the difference of its y-intercept and x-intercept equal to 3. Show the solution.
- Find the differential equation (Eliminating Arbitrary Constant)(Family of Curves): Strophoids : y2=x2((c-x)/(c+x))Find the general solution of the first-order differential equation for x > 0 by any appropriate method. (Enter your solution in the form F(x, y) = C or y = F(x, C) where C is a needed constant.) y' = 70x6 Square root1-y2Differential Equation: 3. (D2-4D+4)y = ex (use Variation Of Parameters)
- The general solution of the differential equation given above a) by the method of indefinite coefficients b)by the method of change of parametersObtain the differential equation of the family of plane curves described. 1. Straight lines with slope and x-intercept equal. 2. Straight lines at a fixed distance ? from the origin. 3. Parabolas with vertex on the x-axis, with axis parallel to the y-axis, and with distance from the focus to vertex fixed at ?.Differential EquationsFind the Particular Solution of (16x+5y)dx + (3x+y)dy = 0. If the curve to pass through the point (1, -3)
- Solve for solution of differential equation of y' = y/x - x/y Also indicate what its type of equation.Obtain the differential equation of the family of circles having their centers on the xaxis. Obtain the differential equation of the family of lines passing through (-1, 1)Using the METHOD OF VARIATION OF PARAMETERS, find a particular solution for the inhomogeneous equation: