Are these differential functions linear??

y^4 + xy''' + xy'' -(e^x)y' + 2y = x^2 + x + 1

y'' + 2xy' + y = 4xy^2

Are these differential functions linear??

y^4 + xy''' + xy'' -(e^x)y' + 2y = x^2 + x + 1

y'' + 2xy' + y = 4xy^2

@Mathematics

Question

Are these differential functions linear??

y^4 + xy''' + xy'' -(e^x)y' + 2y = x^2 + x + 1

y'' + 2xy' + y = 4xy^2

Are these differential functions linear??

y^4 + xy''' + xy'' -(e^x)y' + 2y = x^2 + x + 1

y'' + 2xy' + y = 4xy^2

@Mathematics

agreene · Answer

neither one is linear.

anonymous · Answer

ok, for the first one..its because of the y^4..rite?

and I dont get why the second one is not linear..

agreene · Answer

all the rules are here: http://en.wikipedia.org/wiki/Linear_differential_equation I looked up the 2nd one to be sure on wolfram ;)