In: Math
1. (a) Sketch the slope field for the given differential equation: dy/dx = 2?
(b) Find the particular solution of the differential equation that satisfies the initial condition y(0) = 4
(c) What is the value of y when x = 1/2
2. (a) Find the general solution of the given differential equation: dy/dx = ysinx = ????? 2
(b) Find the particular solution of the differential equation that satisfies the initial condition ? = 2; ?ℎ?? ? = π/2
Solution-
(a)
Draw the slope field using
the equation of slope,

only works with y and slope will increase with distance from x-axis (y values).

(b)
Particular solution,




satisfies (0,4)



(c)
Find value at x= 0.5


