1) Determine whether the equation is exact. If it is, the solve it. 7t/y dy + (7lny + 8)dt =0 2) Determine whether the equation is exact. If it is, the solve it. (-sinxcosy-4x)dx - (cosxsiny+4y)dy =0 3) Use the method for solving homogeneous equations to solve the following differential equation (7x^2 -y^2) dx + ( xy-5x^3 y^-1 ) dy= 0 4) Use the method for solving homogeneous equations to solve the following differential equation ( 18y^2 - xy ) dx + x^2 dy = 0 5) Use the method for solving homogeneous equations to solve the following differential equation. 8( x^2 + y^2 ) dx + 7xy dy = 0 6) Use the method for solving homogeneous equations to solve the following differential equation dy/dtetha = (9tetha sec (y/tetha) + 8y)/8tetha 7) Use the method for solving Bernoulli equations to solve the following differential equation dy/dx + 5y = e^x y^-6 8) Use the method for solving Bernoulli equations to solve the following differential equation dy/dx + y^9 x + y = 0