diff. eq

solve: ((e^x)(sin(y))-2ysin(x))dx+((e^x)(cos(y))+2cos(x))dy= 0

Ord. Diff. Eq.

Solve: (1+x)y' = x

Practice questions for Standard Differential Equations

Could you please provide the workings out with explanations for the three standard differential equations below. Please note that the system we are using gives the correct answer on the (comment) line. I have just copied this into the (your answer) line and hence received the green tick, but I need to know the workings out with explanations for these, to understand the method for when I attempt the real questions on this topic. Hope this is clear and that you can help with my problem.

System of Equations

1. Many free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system. Problem: find out which of the four techniques (the Method of Addition, the Method of Substitution, Gauss-Jordan Elimination, and Cramer's Rule) is used in the majority of these types of software packages. Give your opinion why this technique is the one most commonly used. I am not sure about this one. 2. Three foods have the following nutritional content per ounce. Calories, Protein (in grams), Vitamin C (in milligrams) Food A 40calories,5 protein grams,30vitamin C in miligrams Food B 200calories,2 protein grams,10 vitaminC in miligrams ... click for more

Differential Equation

Which of the following is a solution to the differential equation: ylny + xy' = 0 for x > 0 ? **Please see attachment for multiple choice options