y" + 100y = 0, y? = cos 10x, y? = sin 10x What step should you take for each given function to verify that it is a solution to the given differential equation? A. Integrate the function and substitute into the differential equation. B. Substitute the function into the differential equation. C. Differentiate the function and substitute into the differential equation. D. Determine the first and second derivatives of the function and substitute into the differential equation. Start with $y_1 = \cos 10x$. Integrate or differentiate the function as needed. Select the correct choice below and fill in A. The indefinite integral of is $\int y_1 \, dx = \boxed{}$ B. The first derivative is $y_1' = \boxed{}$ C. The first derivative is $y_1' = \boxed{}$ and the second derivative is $y_1" = \boxed{}$ D. The function does not need to be integrated or differentiated to verify that it is a solution to the differential equation
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In this case, the first derivative is -10sin(10x). This means that the original function is the antiderivative of -10sin(10x). Show more…
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