Question: Section A: First-Order ODEsSolve the first-order linear ODE: dydx+3y=6x.Solve the separable differential equation: dydx=y*ex.Solve the exact differential equation: (2xy+y2)dx+(x2+2xy)dy=0.Solve the Bernoulli equation: dydx+y=y2.Find the orthogonal
Section A: First-Order ODEsSolve the first-order linear ODE: dydx+3y=6x.Solve the separable differential equation: dydx=y*ex.Solve the exact differential equation: (2xy+y2)dx+(x2+2xy)dy=0.Solve the Bernoulli equation: dydx+y=y2.Find the orthogonal trajectories of the family of curves given by y2=4x.
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