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It is easy to check that for any value of c, the function
y=ce-2x+e-x
is a solution of the equation
y′+2y=e-x.
Find the value of c for which the solution satisfies the initial condition y(-3)=8.
c=
y=ce-2x+e-x
is a solution of the equation
y′+2y=e-x.
Find the value of c for which the solution satisfies the initial condition y(-3)=8.
c=
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Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
-0.029957050954533