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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(2)= 5 `.
` 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(2)= 5 `.
` c = `
Get help:
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
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