Using method of variation of parameters, solve the differential
equation: y''+y'=e^(2x)
Find the general solution, and particular solution using this
method.
FIND THE GENERAL SOLUTION TO THE DE: Y”’ + 4Y” – Y’ –
4Y = 0
COMPUTE:
L {7 e 3t – 5 cos ( 2t ) – 4 t 2
}
COMPUTE:
L – 1 {(3s + 6 ) / [ s ( s 2 + s – 6 ) ]
}
SOLVE THE INITIAL VALUE PROBLEM USING LAPLACE
TRANSFORMS:
Y” + 6Y’ + 5Y = 12 e t
WHEN : f ( 0 ) = -...
4)Find the general solution of the following differential
equation.
y''+4y=tan(x) -pi
5)A mass of 100 grams stretches a spring 98 cm in equilibrium. A
dashpot attached to the spring supplies a damping force of 600
dynes for each cm/sec of speed. The mass is initially displaced 10
cm above the equilibrium point before the mass is attached, and
given a downward velocity of 1 m/sec. Find its displacement for
t>0.