- Find integral over the area in I quadrant between Find integral over the area in I quadrant between b^2
- Evaluate over the area of semicircle above x axis with radius a for Evaluate over the area of semicircle above x axis with radius a for x^2y^2 dxdy >
- Evaluate double integral 0 to a and y from 0 to rt a2x2 of sq rt of Evaluate double integral 0 to a and y from 0 to rt a^2-x^2 of sq rt of (a^2-x^2-y^2)dxdy >
- Find integral of x2x2y212 dxdy for 0ya and yxa Find integral of x^2/(x^2y^2)^(1/2) dxdy for 0
- Evaluate double integral over the circle x2y2 a2 in the I quadrant of xyx2+y212 dxdy Evaluate double integral over the circle x^2y^2 =a^2 in the I quadrant of xy/(x^2y^2)^(1/2) dxdy >
- Evaluate triple integral over the I octant of the sphere Evaluate triple integral over the I octant of the sphere x^2y^2z^2 =a^2 of x dxdydz >
- Evaluate integral of xyz dxdydz over the I octant of the sphere Evaluate integral of xyz dxdydz over the I octant of the sphere x^2y^2z^2 =a^2 >
- Form the differential equation for the family of straight lines xayb1 Form the differential equation for the family of straight lines x/ay/b=1 >
- Form a differential equation for the parabola y2 4ax Form a differential equation for the parabola y^2 =4ax >
- Form the differential equation for the family of circles having radius as 3 and centre of y axis Form the differential equation for the family of circles having radius as 3 and centre of y axis >
- Find the differential equation of the ellipse Find the differential equation of the ellipse x^2/a^2 y^2/b^2 =1 >
- Form the differential equation for the family of hyperbolas Form the differential equation for the family of hyperbolas x^2/a^2 -y^2/b^2 =1 >
- Form the differential equation for the family of parabolas right open Form the differential equation for the family of parabolas right open y^2 = 4ax
- Form the differential equation for x3y3 ax Form the differential equation for x^3y^3 = ax >
- Solve the differential equation 1y2 dx 1x2dy Solve the differential equation (1y^2) dx = (1x^2)dy
- Find the equation of the curve which passes through 12 and has a slope everyhere as Find the equation of the curve which passes through (1,-2) and has a slope everyhere as y^2/(2x1) >
- Find square root of x44x3 10x212x9 Find square root of x^4-4x^3 10x^2-12x9 >
- Solve y4y3y 8ex6e2x subject to the condition that Solve y"4y3y = 8e^x-6e^(2x) subject to the condition that y(0) = 2 and y(0) = -3 >
- Solve D34d y 2cosh 2x Solve (D^3-4d) y = 2cosh 2x >
- Solve D2D12 y e2x2sinhx Solve (D_2)(D-1)^2 y = e^(-2x)2sinhx >
- Solve D25D6y 4cos 5x Solve (D^25D6)y = 4cos 5x >
- Solve D24D3 17 sin 5x Solve (D^2-4D3) = 17 sin 5x >
- Solve the differential equation y4y3y sin 3x cos 2x Solve the differential equation y"-4y3y = sin 3x cos 2x >
- Solve D^2+a^2y 49 sin ax Solve (D^2a^2)y = 49 sin ax >
- Solve D24y cos 2x Solve (D^24)y = cos 2x >
- Solve D216y e3xcos 4x Solve (D^216)y = e^(-3x)cos 4x >
- Solve D29Y 11 cos3 x Solve (D^29)Y = 11 cos^3 x >
- Solve D25D6y x2 11e2x Solve (D^25D6)y = x^2 11e^(2x) >
- Solve y3y2y x2 4x Solve y"3y2y= x^2 4x >
- Evaluate triple integral 0 to 1 0 to rt 1x2 and 0 to rt 1x2y2 of dxdy dz rt of 1x2y^2z^2 Evaluate triple integral 0 to 1, 0 to rt 1-x^2 and 0 to rt 1-x^2-y^2 of dxdy dz/rt of 1-x^2-y^2-z^2 >
- Evaluate triple integral of z3 dxdydz for the region between Evaluate triple integral of z^3 dxdydz for the region between x^2y^2 =a^2 and xy =z,z=0 >
- Find volume integral of rt a2x2y2 over the semi circle x2y2 ax in the positive quadrant Find volume integral of rt a^2-x^2-y^2 over the semi circle x^2y^2 =ax in the positive quadrant >
- Solve y3y2y x24cosx Solve y"3y2y =x^24cosx >
- Solve D^33D^2Dy x^23x217 Solve (D^33D^2D)y = (x^23x2)/17 >
- Solve D^2D1y x2 ex Solve (D^2D1)y =x^2 e^(-x) >
- Solve D22D4 y ex sin2x Solve (D^2-2D4) y = e^x sin2x
- Solve D23D2y 1xex Solve (D^2-3D2)y = (1x)e^x >
- Solve D24y xsinx Solve (D^24)y =xsinx >
- Solve yyxex sinx Solve y"-y=xe^(x) sinx >
- Find the particular integral of D^22y x2 Find the particular integral of (D^22)y =x^2 >
- Solve D24D3y ex sinx xe^3x Solve (D^24D3)y = e^(-x) sinx xe^3x >
- Solve D^22D2 y ex x2 5e2x Solve (D^2-2D2) y = e^x x^2 5e^-2x >
- Solve D^26D13y 0 Solve (D^2-6D13)y = 0 >
- Solve y3y2y 1x Solve y"-3y2y = 1x >
- Find the particular integral of D25D6y x2 Find the particular integral of (D^25D6)y =x^2 >
- Solve D^2+4y sin 2x Solve (D^24)y = sin 2x >
- Solve D21y xex Solve (D^21)y = xe^x >
- Find particular integral of D212 sin 2x Find particular integral of (D^21)^2 = sin 2x >
- Solve yy ex cosx x3 Solve y"y = e^-x cosx x^3 >
- Find the particular integral of Find the particular integral of (D2)(D-1)^2 = e^(-2x)2sinhx >