Page 25 - Schaum's Outline of Differential Equations
P. 25
8 BASIC CONCEPTS [CHAR 1
In Problems 1.50 through 1.54, find values of c 1 and c 2 so that the given functions will satisfy the prescribed
initial conditions.
x
1.50. y(x) = c l<? + c 2e~ + 4 sin x; y(0) = 1, /(0) = -1
2
1.51. y(x) = c 1x+c 2 + x -l; y(l) = 1, /(I) = 2
lx
x
3x
1.52. y(x) = c 1e +c 2e + 3e ; y(0) = 0, /(O) = 0
1.53. y(x) = c 1 sin x + c 2 cos x + 1; y(n) = 0, /(ft) = 0
1.54. y(x) = c^ + c 2xe* + x ^; y(l) = 1, /(I) = -1
2
