Solve the following IVP: d y d x = 4 + 13 x…

Solve the following IVP: d y d x = 4 + 13 x x y 2 y ( 1 ) = 3 {“version”:”1.1″,”math”:”\begin{align*} \frac{dy}{dx} &= \frac{4 + 13x}{xy^2} \\[5pt] y(1) &= 3 \end{align*}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

Solve the following initial value problem: y ′ = 6…

Solve the following initial value problem: y ′ = 6 x y − 2 x y ( 0 ) = 3 {“version”:”1.1″,”math”:”\begin{align*} y’ &= 6xy – 2x \\[5pt] y(0) &= 3 \end{align*}”}(Show all sufficient work in steps and use the technique or method discussed in this course.)

Part A — 4 points Write a polar equation of the parabola wh…

Part A — 4 points Write a polar equation of the parabola whose focus is at the pole and vertex at 10,0{“version”:”1.1″,”math”:”10,0″}. Part B — 4 points Is the polar point 403,π3{“version”:”1.1″,”math”:”403,π3″} on the parabola?