Question

In: Math

1. (a) Sketch the slope field for the given differential equation: dy/dx = 2? (b) Find...

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

Solutions

Expert Solution

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


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