Jun 8, 2013 · How to distinguish linear differential equations from nonlinear ones? I know, that e.g.: $$ y''-2y = \\ln(x) $$ is linear, but $$ 3+ yy'= x - y $$ is nonlinear. Why?

Jul 26, 2015 · Among these differential equations why one is linear while other is non-linear? What is criteria to find out whether a differential equation is linear or non-linear?

Apr 30, 2014 · 1 You know that a linear function satisfies the following property: $$f (a+b)=f (a)+f (b)$$ and you want to determine whether a particular function $g$ is linear, so you just check …

Aug 17, 2020 · I have a problem understanding how to define a linear or non-linear Differential equation. These are my answers to the questions, however, my teacher's answers are not the …

This lesson concerns systems of two equations, such as: 2x + y = 10 3x + y = 13. The equations can be viewed algebraically or graphically. Usually, the problem is to find a solution for x and y …

Mar 12, 2014 · This equation is a separable differential equations since we can rewrite this in the form of $\frac {dy} {y} = rdt$. Consider the fact that this is also a linear equation since $\frac …

Any easy way to look at an equation and know if it is linear or not is to look at the degree of the function. The degree is simple the exponent of x. For example the function y= is a function of …

Question 814183: Explain how you can tell (without graphing) whether a system of linear equations has one solution, no solutions, or infinitely many solutions. Be sure to account for …

So "showing a system of linear equations is not solvable" (has no solutions) is, by definition, the same thing as showing that the system of linear equations is "inconsistent".

Jan 27, 2015 · Sometimes it arrives to me that I try to solve a linear differential equation for a long time and in the end it turn out that it is not homogeneous in the first place. Is there a way to …