Solve the following initial value problem. dy/dx  =  y2 − 9y + 8,    y(0)  =  3

Solve the following D.E: dy xy³ 4. = dx 1+x² y (0) = 1

Hey! I really need help with this question... I'm not very good at math and this would help a ton!  The school is installing whiteboards in 5 classrooms. Whiteboards, including their borders, are 6 feet wide by 10 feet long. The borders, which are 0.5 ft wide, will not be varnished.  The whiteboards can be varnished to resist stains for 40 cents per square foot or can be varnished to avoid glare from ceiling lights for 25 cents per square foot. If each room gets one whiteboard, how much more expensive will it be to varnish the whiteboards for stains than to varnish them for glare?   It will be $_________  more expensive.

Solve the following initial value problem (y)dx+(y4-4x)dy=0 with x(2)=5/2.  For your final answer, isolate x(y).