x2 y" + (x2+x) y’
+(2x-1) y = 0,
Find the general solution of y1 with
r1 and calculate the coefficient up to
c4 and also find the general expression of the
recursion formula, (recursion formula for
y1)
Find the general solution of y2 based on
theorem 4.3.1. (Hint, set d2 = 0)
y"+y'-6y=1
1. general solution of corresponding homogenous equation
2. particular solution
3.solution of initial value problem with initial conditions
y(0)=y'(0)=0
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 ) = -...
y"-2y'+y=cos2t
1. general solution of corresponding homongenous equation
2. particular solution
3.solution of initial value problem with initial conditions
y(0)=y'(0)=0
Given that a particular solution of 2y′′ +3y′ +y = x^2 +7x+8 is
yp1=x^2+x+1 and that a particular solution of 2y′′ + 3y′ + y =
2sinx+4cosx is yp2=sinx-cosx, find a particular solution for 2y"
+3y' +y =3x^2 + 21x + 24 -sinx -2cosx