1. Solve by separation of variables
yy'= xy2 + x, y(1)=0
a. Solve by the integrating factor method
xy'+(x+2)y = ex
b. Solve the Bernoulli’s Equation
x2y'?3y2 +2xy = 0, y(2) =5
c. Solve by undetermined coefficients
y"? y = x+sinx, y(0)= 2,y'(0) =3
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