Which of the following are first order linear differential equations? A. dP/dt + 2tP = P + 4t - 2 B. sin(x) dy/dx - 3y = 0 C. (dy/dx)^2 + cos(x)y = 5 D. d^2y/dx^2 + sin(x) dy/dx = cos(x) E. dy/dx = y^2 - 3y F. x dy/dx - 4y = x^6 e^x
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A first-order linear differential equation has the form: \[ \frac{dy}{dx} + P(x)y = Q(x) \] where \( P(x) \) and \( Q(x) \) are functions of \( x \). Show more…
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