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1. Solve by separation of variables yy'= xy2 + x, y(1)=0 a. Solve by the integrating...

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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