Particular solution of a linear ordinary diffeential equation.

Find the particular solution of a linear ODE subject to the given initial condition: (Attached). y' + 3/x = x y(1) = 0

Exact Differential Equations

The differential equation y^2 dx +(2yx - 1)dy = 0 is exact. Is this a true or false statement? Why

Solving Differential Equations

57. Show that the substitution v = lny transforms the differential equation dy/dx + P(x)y = Q(x)(ylny) into the linear equation dv/dx + P(x) = Q(x)v(x) 58. Use the idea in Problem 57 to solve the equation x (dy/dx) – 4x2y + 2ylny = 0 59. Solve the differential equation dy/dx = (x-y-1)/(x+y+3) by finding h and k so t ...continues

Solving Systems of Differential Equations

Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system: x'=3x-4y y'=4x-7y

Laplace Transforms

Laplace Transforms. See attached file for full problem description.

Runge-Kutta Iterated Values

Please see the attached file for the fully formatted problems.

Nonlinear Differential Equations : Chemical Reactions Problem

Question: A Chemical X is produced from a reaction involving chemicals A and B. The rate of production of X varies directly as the product of the instantaneous amounts of A and B present. The formation of X requires 6 pounds of A for every 4 pounds of B. 30 pounds of A and 20 pounds of B are present initially and 10 pounds of ...continues

Applications of Differential Equations and Logistic Equations

The number of bacteria in a Petri dish was initially determined to be 200. After one hour, the number had increased to 500 and after another hour to 1,000. Assume that the rate of bacterial growth in the dish at any time t can be calculated using the logistic equation dB/dt = B(a-bB), which I know to use the formula B = aBo/(bBo ...continues

Ratio, Proportion, Trends and Forecasting

The Bunny Number Oney rabbit farm noticed that the rate of increase in rabbits on the farm was directly proportional to the number of rabbits at the farm at any time t. It was further noticed that the number of rabbits increased from 200 to 400 in 60 days. a. How many more days will it take to have 800 rabbit on the farm? b ...continues

Population Growth Problems

In a galaxy far, far away (my professor writes his own practice problems), on the planet Xylor, a herd of 100 Tybars was introduced for breeding. After 5 years, the herd had increased to 500. If the rate of herd growth is assumed to be directly proportional to the number of Tybars present on Xylor at any time t: a. How many T ...continues