FINDING PARTICULAR SOLUTION OF DIFFERENTIAL EQUATIONS WORKSHEET

Problem 1 :

Solve the initial value problem

Solution

Problem 2 :

Solve the initial value problem

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Given the velocity 

V = ds/dt = 32t - 2

and the initial position of the body as s(1/2) = 4. Find the body's position at the time t.

Solution

Problem 6 :

f'(x) = 4x, f(0) = 6

Solution

Problem 7 :

h'(t) = 8t³ + 5, h(1) = -4

Solution

Problem 8 :

f''(x) = 2, f'(2) = 5, f(2) = 10

Solution

Problem 9 :

Given the acceleration

a = d² s/dt² = -4sin 2t

initial velocity v (0) = 2, and the initial position of the body as s (0) = -3. Find the body's position at time t.

Solution