A linear ordinary differential equation is described by the general expression (du(x))/(dx)+p(x)*u(x)=g(x) Use the integration factor to solve the initial value problem for the following equation. (dy(x))/(dx)-y(x)-4*x*e^(x)=0, where y(0)=6 From the expression above, determine p(x)= input expression after the equal sign. Use x for a variable and exp() to input an exponent. From the expression above, determine g(x)= input expression after the equal sign. Use x for a variable and exp() to input an exponent. Determine integration factor. F(x)= input expression after equal sign. Use x for a variable and exp() to input an exponent. Type below the expression for the family of solutions. y(x)= input expression after equal sign. Use x for a variable, exp() to input an exponent, C (capital C) for the integration constant, and ^() to indicate power. Given the initial condition y(0), calculate and provide below the numerical value for the integration constant C. Please insert below the final expression for the solution of the initial value problem y(x)= input expression after the equal sign, which includes the independent variable x and numerical values of the associated constants.