A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2...

after the coffee is heated to 200 degrees , it is set in a room at 50 degrees.It cools at a rate that is proportional to the difference between its current temperature and that of the surrounding...

Solve the differential equation dx+(x/y-sin(y))dy=0.
I know that the integrating factor is y.
y dx+x dy-ysin(y) dy=0
d(xy)-ysin(y) dy=0
How do I integrate this?

Find the general solution of ty'-y=t^2*e^(-t), t>0.
I got y=(t^-1)(e^-t)(t^3/3+c) but when I simplify that I didn't get the right answer. Please help me with steps.

Name the title of the book, author, edition, ISBN number. Also, what bookstore sells used college textbooks for this? And what math should I take after Differential Equations for physics and engineering...

Solve the differential equation y^(4)-5y"-36y=0.
r^4-5r^2-36
(r^2-9)(r^2+4)
r=3, -3, 2i, -2i
y=c1*e^3x+c2*e^-3x+c3(cos(2x))+c4(sin(2x))
Is that the right answer...

Solve the differential equation (2xy+y^3)dx+(x^2+3xy^2-2y)dy=0.
I got x^2*y+xy^3+yx^2+xy^3-y^2=C but that's not the answer. And is Differential Equations taught after Linear...

the position function s of a point is given by two dimensional quantities where t in seconds and the y direction is affected by gravity (10m/s/s).
y(t)=4t*sin(θ) - 5t2 ...