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CC05, Questions paper of Burdwan University (mathematics,2018)
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This is a video of CC05 Questions paper of Burdwan University of 2018
Burdwan University mathematics honours
for 3rd semester
°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°
All Questions paper playlist:---------
Differential equations playlist:---------
Partial Differential equation playlist:-------
Complex Analysis playlist:---------
challenge 1.------------------------
Solve, cos(x+y)p+sin(x+y)q=(z+1/z)
challenge 2.------------------------
Solve, (xy³-2x⁴)p+(2y⁴-x³y)q=9z(x³-y³)
challenge 3.-------------------------
Solve, x(du/dx)+y(du/dy)+z(du/dz)=ku+(xy/z)
challenge 4.-------------------------
Solve, z(z²+xy)(px-qy)=x⁴
(group theory):-------------------------
Let G be a group of order 35 (or133) .Show that G is cyclic.
(Find the Radius of convergence part 1):-------------
Cauchy's integral formula part 5:------------------
Exact differential equation & some special form part 4
(d³y/dx³)=2(d²y/dx²)(dy/dx)
Find Yc & Yp ??
(d⁴y/dx⁴)-y=xsinx
Homogeneous linear equations with variable coefficient:---------
part 1
x²(d²y/dx²)+4x(dy/dx)+2y =e^x
part 2
x²(d²y/dx²)+x(dy/dx)-y=x²e^2x
part 4
(x⁴D⁴+2x³D³+x²D²-xD+1)y=logx
Singular solution:--------------
part-1
4p²x(x-a)(x-b)={3x²-2x(a+b)+ab}²
part-2
p²y²cos²(alpha)-2pxysin²(alpha)+y²-x²sin²(alpha)
Method of undetermined coefficient:---------
part-1
(d²y/dx²)-3(dy/dx)=(x+e^xsinx)
part-2
(d²y/dx²)-7(dy/dx)+6y=(x-2)e^x
Burdwan University mathematics honours
for 3rd semester
°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°••°°
All Questions paper playlist:---------
Differential equations playlist:---------
Partial Differential equation playlist:-------
Complex Analysis playlist:---------
challenge 1.------------------------
Solve, cos(x+y)p+sin(x+y)q=(z+1/z)
challenge 2.------------------------
Solve, (xy³-2x⁴)p+(2y⁴-x³y)q=9z(x³-y³)
challenge 3.-------------------------
Solve, x(du/dx)+y(du/dy)+z(du/dz)=ku+(xy/z)
challenge 4.-------------------------
Solve, z(z²+xy)(px-qy)=x⁴
(group theory):-------------------------
Let G be a group of order 35 (or133) .Show that G is cyclic.
(Find the Radius of convergence part 1):-------------
Cauchy's integral formula part 5:------------------
Exact differential equation & some special form part 4
(d³y/dx³)=2(d²y/dx²)(dy/dx)
Find Yc & Yp ??
(d⁴y/dx⁴)-y=xsinx
Homogeneous linear equations with variable coefficient:---------
part 1
x²(d²y/dx²)+4x(dy/dx)+2y =e^x
part 2
x²(d²y/dx²)+x(dy/dx)-y=x²e^2x
part 4
(x⁴D⁴+2x³D³+x²D²-xD+1)y=logx
Singular solution:--------------
part-1
4p²x(x-a)(x-b)={3x²-2x(a+b)+ab}²
part-2
p²y²cos²(alpha)-2pxysin²(alpha)+y²-x²sin²(alpha)
Method of undetermined coefficient:---------
part-1
(d²y/dx²)-3(dy/dx)=(x+e^xsinx)
part-2
(d²y/dx²)-7(dy/dx)+6y=(x-2)e^x