Homework Soursefind the specific function among the given twoparameter fami
find the specific function among the given two-parameter family y(x)=c1e^x cos(x)+c2e^x sin(x) , that satisfies the specified initial conditions y(0)=1, y\'(0)=1
Solution
y(x)=c1e^x cos(x)+c2e^x sin(x) y(0) = c1 = 1 y\'(x) = c1 e^x cosx + c1 e^x ( - sinx) + c2 e^x sin(x) + c2 e^x cosx y\'(0) = c1 + c2 = 1 c2 = 0 y(x)=e^x cos(x)
