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In: Advanced Math

Solve the following differential equations. i) y'''-6y''+10y'=0 ii) dy/dx= x2/(1+y2) with y(1)=3 iii) (x2-2y)y'+2x+2xy=0 iv) Use...

Solve the following differential equations.

i) y'''-6y''+10y'=0

ii) dy/dx= x2/(1+y2) with y(1)=3

iii) (x2-2y)y'+2x+2xy=0

iv) Use substitution to solve t2y'+2ty=y5 for t>0

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