Q3 y' =(y+9x)² where y+9x=v Q4 wy+y Q5 (1+4y cos 2x)dx+(2 sin 2x)dy=0 Q6 (y-x³) (x+y³) Q7 (e-y)dx+(xe** +1)dy=0 Q8 Please states all the tools that used to solve this assignment Hint This question measures independent, self-directed lifelong learning in each student's Instruction: - Assignment 1: 1st Order Ordinary Differential Equations Answer all questions. Upload all the answer scripts to the author system upon finishing the assignment. Question: 1. State the solution method that is suitable for solving the given differential equation (Separable, Homogeneous, Exact/InExact) 2. Determine the general solution for the given differential equations. 3. If the initial condition is given, find the particular solution for the differential equation that satisfies the initial condition given. Q1 y' = 1 t(t+2) Q2 2xyy' =3y²+x² y(1)=2

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

2 X ( 큰f 높다. 1- cos 2Tx ) dx