Question: for examples 6 through 10, find the particular solution to the given initial value problem. 6. dy/dx= y^(3)xe^(x^2) ; y(0)=1 7. dy/dx= 3x^(2) y^(2) ;

for examples 6 through 10, find the particular solution to the given initial value problem.

6. dy/dx= y^(3)xe^(x^2) ; y(0)=1

7. dy/dx= 3x^(2) y^(2) ; y(0)=5

8. dy/dx + y= x ; y(0)=3

9. dy/dx -2y= xe^x ; y(0)= -1

10. x dy/dx + 3y= 0 ; y(0)=2

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