If y (r) and y(x) both solve the inhomogeneous differential equation y'(x) = p(x) y(x) +...

 

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If y₁ (r) and y₂(x) both solve the inhomogeneous differential equation y'(x) = p(x) y(x) + g(x), A. then y(x) + 2(x) is also a solution to the same differential equation. B. then 4y₁ (r) + 1/2 (r) is also a solution to the same differential equation. C. then y₁ (2) -32(r) is also a solution to the same differential equation. D. then 3y₁ (r)-2y2 (2) is also a solution to the same differential equation. E. then 3y₁ (r) +2y2(r) is also a solution to the same differential equation. If y₁ (r) and y₂(x) both solve the inhomogeneous differential equation y'(x) = p(x) y(x) + g(x), A. then y(x) + 2(x) is also a solution to the same differential equation. B. then 4y₁ (r) + 1/2 (r) is also a solution to the same differential equation. C. then y₁ (2) -32(r) is also a solution to the same differential equation. D. then 3y₁ (r)-2y2 (2) is also a solution to the same differential equation. E. then 3y₁ (r) +2y2(r) is also a solution to the same differential equation.

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We can use the linearity property of differential equations to determine which options are correct I... View the full answer