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The Particular Solution of the Differential Equation dydx=9x24x+5\frac { d y } { d x } = 9 x ^ { 2 } - 4 x + 5

Question 54

Multiple Choice

The particular solution of the differential equation dydx=9x24x+5\frac { d y } { d x } = 9 x ^ { 2 } - 4 x + 5 satisfying the boundary condition y(1) =0y ( - 1 ) = 0 is


A) y=3x32x25x10y = 3 x ^ { 3 } - 2 x ^ { 2 } - 5 x - 10
B) y=3x32x2+5x+10y = 3 x ^ { 3 } - 2 x ^ { 2 } + 5 x + 10 .
C) y=3x32x25x+10y = - 3 x ^ { 3 } - 2 x ^ { 2 } - 5 x + 10
D) y=3x32x2+5x+10y = 3 x ^ { 3 } - 2 x ^ { 2 } + 5 x + 10
E) y=3x32x2+5x10y = 3 x ^ { 3 } - 2 x ^ { 2 } + 5 x - 10

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