Use Integration to Find a General Solution of the Differential $\frac { d y } { d x } = 5 x ^ { 3 } + x$

question 80

Multiple Choice

Use integration to find a general solution of the differential equation.
$\frac { d y } { d x } = 5 x ^ { 3 } + x$

• A) \(y = 5 x ^ { 4 } + x ^ { 2 } + C\)
• B) \(y = \frac { 5 } { 4 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 2 } + C\)
• C) \(y = 5 x ^ { 2 } + 1 + C\)
• D) \(y = 15 x ^ { 2 } + 1 + C\)
• E) \(y = \frac { 5 } { 4 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 2 } + x + C\)

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