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# Verify that the given function y is a solution of the differential equation that follows it. Assume that C is an arbitrary constant:y(t) = Ce 8t; y' (t) - 8y(t...

## Question

###### Verify that the given function y is a solution of the differential equation that follows it. Assume that C is an arbitrary constant:y(t) = Ce 8t; y' (t) - 8y(t) = 0Start by substituting y(t) =. Ce 8t into the second half of the equation:y' (t)=0Next find the derivative of y(t) = Ce 8t .y' (t) =Simplify the equation for the given function: Is the given function a solution for the differential equation?0A Yes because when y andy are substituted into the equation, the result is a tru

Verify that the given function y is a solution of the differential equation that follows it. Assume that C is an arbitrary constant: y(t) = Ce 8t; y' (t) - 8y(t) = 0 Start by substituting y(t) =. Ce 8t into the second half of the equation: y' (t) =0 Next find the derivative of y(t) = Ce 8t . y' (t) = Simplify the equation for the given function: Is the given function a solution for the differential equation? 0A Yes because when y andy are substituted into the equation, the result is a true statement. Yes because the given function equals 0, so the original function must satisfy the initial value problem. No because when y and y' are substituted into the equation; the result is not a true statement: No because the given function does not equal 0, so the original function cannot satisfy the initial value problem

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