- #1
Dissonance in E
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Homework Statement
find a general solution to the eq:
y''=sin(3t)+4e^t
Find a particular solution that satisfies
y(0) = 1
y'(1) = 0
Homework Equations
The Attempt at a Solution
ive figured the general solution to be
y(x)= -sin(3t)/9 + 4e^t + c + d
And thus
y'(x) = -cos(3t)/3 + 4e^t +c + d
I know the solution is the general solution + the specific values for c & d.
so we get 2 equations
-sin(3(0))/9 +4e^0 +c +d = 1
4+c+d=1
c+d=-3
-cos(3(1))/3 +4e^1 +c +d = 0
-cos(3)/3 + 4e +c +d =0
c+d = cos(3)/3 -4e
now what? if I try substituting values for c & d i end up eliminating both the c and d terms
eg: c = -3 -d
(-3 -d ) + d = cos(3)/3 -4e
-3 = cos(3)/3 -4e ?