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  1. mathematics
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  3. y(x)= c1e2x +c2e-x +c3cos(x)+c4sin(x)-4x5+10x4+20x

y(x)= C1e2x +C2e-x +C3Cos(x)+C4Sin(x)-4x5+10x4+20x3+30x2-450x+255 ?(0) = ? ?(0) = ? ??(0) = ?''' (0) = 0 Find the...

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Basic Math

y(x)= C1e2x +C2e-x+C3Cos(x)+C4Sin(x)-4x5+10x4+20x3+30x2-450x+255

?(0) = ? ?(0) = ? ??(0) = ?''' (0) = 0

Find the solution to the initial value problem by plugging inthe initial conditions to the general solution.

a. Find ? ?(?), ? ??(?), and ? (3) (?). Make sure to calculatefor both pieces of the general solution.

b. Plug in initial condition and find system ofcoefficients.

c. Solve the system of coefficients. (If you find this problemin the text, the answer in the back is incorrect.)

d. Write out general solution ?(?) with filled in ?1, ?2, ?3, ?4values.

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