Engineering Answers

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.

Evaluate ∬R(x-y)^{2}sin^{2}(x+y)d xdy, where R is the rhombus withsuccessive vertices at (π,0),(2π,π),(π,2t) and (0,π)

Show that the vector →{v}=(yz-1)i-z(1+x+z)j+y(1+x+2z)k is conservative and find it scalar potential function.

Evaluate the line integral of →{v}=xyi+y^{2}zj+e^{2z}k over the curve C whose parametric representation is given by x=t^{2},y=2t,z=t,0<t<1.

State Green s theorem and verify for ∮c(x²+y²)dx+(3y+2x)dy ,where C is triangle with vertices at (0,0),(1,0),(1,1)

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