MathematicsMedium38×since 2002Q3631Let y=y(x)y=y(x)y=y(x) be the solution curve of the differential equation dydx+(2x2+11x+13x3+6x2+11x+6)y=(x+3)x+1,x>−1\frac{d y}{d x}+\left(\frac{2 x^{2}+11 x+13}{x^{3}+6 x^{2}+11 x+6}\right) y=\frac{(x+3)}{x+1}, x>-1dxdy+(x3+6x2+11x+62x2+11x+13)y=x+1(x+3),x>−1, which passes through the point (0,1)(0,1)(0,1). Then y(1)y(1)y(1) is equal to :A12\frac{1}{2}21B32\frac{3}{2}23C52\frac{5}{2}25D72\frac{7}{2}27Check answerSkip