Differential Equations Answers

xydx(2x^2+3y^2-20)dy=0

Find values of m so that the function y = x is a solution of the given differential equation.

2y′′ + 9y′ − 7y = 0

If F = a cos wti + b sin wtj where a,b,c are constant, find

F*df/dt and prove that

d^2f/dt^2 + w^2f = 0

Please note, w refers to omega. Thank you very much.

1. If a wet sheet in a dryer loses its moisture at a rate proportional to its moisture content, and if it loses half of its moisture during the first 10 min of drying, when will it be practically dry, say, when will it have lost 99% of its moisture?

Find the general solution to the given partial differential equation and use it to find the solution satisfying the given initial data.

"\\frac{\\partial u}{\\partial x}=-(2x+y)\\frac{\\partial u}{\\partial y}"

"u(0,y)=1+y^2"

(10-6y+e^(-3x))dx-2dy=0 

x + 2(xp − y) + p^2 = 0

dx/(z^2+2y)=dy/(z^2+2x)=dz/-z

find d/dt (F-G) if if F(t) = 4t^2i - tj + t^2k and G(t) = ti + 2t^2j + 4 sin t k