1.A function y=f(x)y = f(x)y=f(x) satisfies (x+1)⋅f′(x)−2(x2+x)f(x)=ex2x+1(x + 1) \cdot f'(x) - 2(x^2 + x) f(x) = \frac{e^{x^2}}{x + 1}(x+1)⋅f′(x)−2(x2+x)f(x)=x+1ex2 for all x>−1x > -1x>−1. If f(0)=5f(0) = 5f(0)=5, then f(x)f(x)f(x) isa.3x+5x+1⋅ex2\frac{3x + 5}{x + 1} \cdot e^{x^2}x+13x+5⋅ex2b.6x+5x+1⋅ex2\frac{6x + 5}{x + 1} \cdot e^{x^2}x+16x+5⋅ex2c.6x+5(x+1)2⋅ex2\frac{6x + 5}{(x + 1)^2} \cdot e^{x^2}(x+1)26x+5⋅ex2d.5−6xx+1⋅ex2\frac{5 - 6x}{x + 1} \cdot e^{x^2}x+15−6x⋅ex2Login to continueOnly logged in users canattempt or see the solution.
