3. Solve the following differential equations by using LaPlace
transformation:
2x'' + 7x' + 3x = 0; x(0) = 3, x'(0) = 0
x' + 2x = ?(t); x(0-) = 0
where ?(t) is a unit impulse input given in the LaPlace
transform table.
Solve for the unknown in the following equation. (Do not round the answer. If the solution is a repeating decimal, enter the answer as a proper fraction or a mixed number ) 2x+ 8+9x = 29
1.) Let f′(x) = 3x^2 − 8x. Find a particular solution that
satisfies the differential equation and the initial condition f(1)
= 12.
2.) An object moving on a line has a velocity given by v(t) =
3t^2 −4t+6. At time t = 1 the object’s
position is s(1) = 2. Find s(t), the object’s position at any
time t.