(Solved): 1. (1 point) A first order linear equation in the form y+p(x)y=f(x) can be (3) Then solve the i ...

1. (1 point) A first order linear equation in the form $$y^{?}+p(x)y=f(x)$$ can be (3) Then solve the initial value problem with $$y(?/2)=2?$$ solved by finding an integrating factor $$?(x)=\exp \left(?p(x)dx\right)y=$$ (1) Given the equation $$x{y}^{?}+(1+3x)y=12e^{?3x}$$ find $$?(x)=$$ (2) Then find an explicit general solution with arbitrary constant C. (1) Given the equation $$y^{?}+6y=8e^{2x}$$ find $$?(x)=$$ Answer(s) submitted: (2) Then find an explicit general solution with arbitrary constant C. $$y=$$ (incorrect) (3) Then solve the initial value problem with $$y(0)=2$$ 2. (1 point) A first order linear equation in the form $$y^{?}+p(x)y=f(x)$$ can be $$y=$$ solved by finding an integrating factor $$?(x)=\exp \left(?p(x)dx\right)$$ (1) Given the equation $$\sin (x)y^{?}+\cos (x)y=2$$ find $$?(x)=$$ - (2) Then find an explicit general solution with arbitrary constant $$C$$. Answer(s) submitted: