Apply the RK4 method with step size h = 0.2 to solve:y′ = −2y + e^−t,  y(0) = 1on the interval [0, 1]. Compare with the exact solution

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.

Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.

Solve for the solution for the equation: (2x²y – 2x³) + (4x³ – 6x²y + 2xy²)y' = 0 with the condition of y(1) = 3.