7.3 Practice: Separation of Variables Find the particular solutions to each differential equation that satisfies the initial condition. 1. 6x + 5y ax= ay = 0; y(3) = 2. Write your answer in standard form: Ax2 + By? = C. 2 . dy = ;y(4) = 1 3. ay = (y + 8); y(0)= 4 4. ex - y dx ,dy = 0; y(0) = 35. 2y dx dy = x + sin(x) ; y(0) = 1 Find the general solution for each differential equation. 6. sin(0) -= dy = cos (0) crumple 2x 7. (x2 - 1) - dx cos ( y ) 8. Find the general solution for each of the differential equations. Then, determine whic family of functions it corresponds to: Exponential, Lines, Circles, or Parabolas dy = X dx dy dxdy -X dx y dy = y dx