## Find a best-fit equation to the data trend. Try several possibilities—linear, parabolic, and exponential….

Question: Find a best-fit equation to the data trend. Try several possibilities—linear, parabolic, and exponential. Use the software package of your choice to find the best equation to predict the amount of bacteria after 40 days. Click the button below to view answer! If you happen to run into some Read more…

## An equation of the form y = X (dy/dx) + f(dy/dx), where the continuously differentiable function f(t) is evaluated at t…

Question: An equation of the form y = X (dy/dx) + f(dy/dx), where the continuously differentiable function f(t) is evaluated at t = dy/dx, is called a Clairaut equation. Interest in these equations is due to the fact that (5) has a one-parameter family of solutions that consist of straight Read more…

## Verify that the function f(x,y)= xy/(x + y2) satisfies the two-dimensional Laplace equation for + fy=0….

Question: Verify that the function f(x,y)= xy/(x + y2) satisfies the two-dimensional Laplace equation for + fy=0. Verify that the function u(x,1)= exp[-x/(4cʻ1)] satisfies the one-dimensional heat equation u, =cu. Find the general solution of the partial differential equation where a and b are constants, with b>a, by making the Read more…

## The velocity in a pipe in turbulent flow is expressed by the following equation u…

Question: The velocity in a pipe in turbulent flow is expressed by the following equation u = k [tau/rho]1/2 where tau is the shear stress in N/m2 at the pipe wall, rho is the density of the fluid in kg/m3, u is the velocity, and k is a coefficient You Read more…

## In Problems 1 –10 determine the singular points of the given differential equation…

Question: In Problems 1 –10 determine the singular points of the given differential equation. Classify each singular point as regular or irregular. Click the button below to view answer! If you happen to run into some problem while following the steps, please make sure to let us know in the Read more…

## Find coefficients a,b,c,and d so that the curve shown in the accompanying figure is given by the equation ax^2 + ay^2 + bx + cy + d = 0…

Question: Find coefficients a,b,c,and d so that the curve shown in the accompanying figure is given by the equation ax^2 + ay^2 + bx + cy + d = 0 fyi i dont have the figure but the points are (-2,7),(-4,5),(4,-3) i need help step by step how to solve Read more…

## Find coefficients a,b,c,and d so that the curve shown in the accompanying figure is given by the equation ax^2 + ay^2 + bx + cy + d = 0…

Question: Find coefficients a,b,c,and d so that the curve shown in the accompanying figure is given by the equation ax^2 + ay^2 + bx + cy + d = 0 fyi i dont have the figure but the points are (-2,7),(-4,5),(4,-3) i need help step by step how to solve Read more…

## The pressure, volume, temperature, and mass of an ideal gas are related by the ideal gas equation of state: PV = MRT where P represents pressure (Pascals), V represents…

Question: The pressure, volume, temperature, and mass of an ideal gas are related by the ideal gas equation of state: PV = MRT where P represents pressure (Pascals), V represents volume (cubic meters), m represents mass (grams), T represents temperature (Kelvin), and Mrepresents the molecular mass of the gas (grams/mc Read more…

## For ordinary differential equation x”(t) + 4x'(t)+5x(t)O with initial conditions x(0) 3 and x (0)-5 a) Use the four order Runge-Kutta method with step size h = 0.1 to solve the differential equation over….

Question: I need to implement the four-order Runge Kutta method for solving the given ODE using MATLAB. Can anyone help me figure out a MATLAB code to accomplish this?  (Systems of Differential Equations) For ordinary differential equation x”(t) + 4x'(t)+5x(t)O with initial conditions x(0) 3 and x (0)-5 a) Use Read more…

## Consider u(x, y) satisfying Laplace’s equation inside a rectangle (0…

Question: -Laplace Eq. in 2D: 1. Consider u(x, y) satisfying Laplace’s equation inside a rectangle (0 Click the button below to view answer! If you happen to run into some problem while following the steps, please make sure to let us know in the comment section below, we’ll do our Read more…