Solve the First Order Linear Differential Equation $y ^ { \prime } - 2 x y = e ^ { x ^ { 2 } }$

question 50

Multiple Choice

Solve the first order linear differential equation. $y ^ { \prime } - 2 x y = e ^ { x ^ { 2 } }$

• A) \(y = e ^ { x ^ { 2 } } ( 2 x + C )\)
• B) \(y = e ^ { x ^ { 2 } } ( x + C )\)
• C) \(y = e ^ { x ^ { 2 } } ( 3 x + C )\)
• D) \(y = e ^ { x ^ { - 2 } } ( x + C )\)
• E) \(y = e ^ { x ^ { - 2 } } \left( x + C ^ { x } \right)\)

Comprehend the principle of federal supremacy as outlined in the constitution.

Analyze the constitutionality of federal legislation concerning interstate commerce.

Identify the source of executive powers in the U.S. Constitution.

Evaluate the judiciary's role in expanding or limiting federal powers through the Commerce Clause.