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Use Integration to Find a General Solution of the Differential dydx=5x3+x\frac { d y } { d x } = 5 x ^ { 3 } + x

Question 80

Multiple Choice

Use integration to find a general solution of the differential equation.
dydx=5x3+x\frac { d y } { d x } = 5 x ^ { 3 } + x


A) y=5x4+x2+Cy = 5 x ^ { 4 } + x ^ { 2 } + C
B) y=54x4+12x2+Cy = \frac { 5 } { 4 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 2 } + C
C) y=5x2+1+Cy = 5 x ^ { 2 } + 1 + C
D) y=15x2+1+Cy = 15 x ^ { 2 } + 1 + C
E) y=54x4+12x2+x+Cy = \frac { 5 } { 4 } x ^ { 4 } + \frac { 1 } { 2 } x ^ { 2 } + x + C

Correct Answer:

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