Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3 +3CSC2X- 5√x - 4π   F(X) = (5- 3x2 + X4)/ X4 Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an initial condition of f(3) = 2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the general antiderivative of each function. (can check by taking the derivative)

F(X)= 12x3 +3CSC2X- 5√x - 4π

 

F(X) = (5- 3x2 + X4)/ X4

Find the particular solution that satisfies the differential equation F'(X) = 10x − 12x3 with an initial condition of f(3) = 2

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