The Solution of the Differential Equation $y ^ { \prime } - y = x$

question 40

Multiple Choice

The solution of the differential equation $y ^ { \prime } - y = x$ is

• A) \(y = x - 1 + c e ^ { - x }\)
• B) \(y = x ^ { 2 } / 2 + e ^ { x }\)
• C) \(y = x ^ { 2 } / 2 + e ^ { - x }\)
• D) \(y = x - 1 + c e ^ { x }\)
• E) \(y = - x - 1 + c e ^ { x }\)