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Solve ∫y=0 ^ 1 ∫x=y^ 2 ^ 1∫z=0 ^ 1-x x dzdxdy


Solve (2y³xe^y+ y² + y)dx + (y³x²e^y-xy- 2x)dy = 0.


Solve dy/dx= 4x² (y-x)² + if y /x is a particular solution.


Solve the initial value problem y²y'-y^3 tanx = sin x cos² x, y(0)=1


Solve (x²D² + 4xD + 2)y= (logx/x)^2,x> 0, where D =d/dx.


Solve d²y/dx²-6 dy/dx +13y= 20e^3x cos(2x+5)


Solve d³y/dx³-2 d²y/dx²+ dy/dx=sinh.x+2019


Solve d²y/dx²+2 dy/dx+y=x sinx.


Evaluate ∫0^π\2α α sin αx dx,α>0 by using Leibniz formula.


Evaluate ∫y=0^{1}∫x=y^{2√2-y^{2}}y/2√x^{2}+y^{2}dxdy ,by clange the order of integration.


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