(1 point) Solve the initial value problem \frac{dy}{dx} - y = 9e^x + 48e^{7x} with y(0) = 7. y = \frac{9x}{e^x} + 8e^{7x} + \frac{-1}{e^x}
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To solve this, we can use the method of integrating factors. First, let's rewrite the equation in the standard form: dy/dx + (-1)y = 9e^(48e^7x). The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is Show more…
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