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

y(x)= C₁e^2x +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 in the initial conditions to the general solution.

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

b. Plug in initial condition and find system of coefficients.

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

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

Expert Solution

milcah answered 2 years ago

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Question

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

Solutions

Expert Solution

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