Solve your IGNOU Doubts

Solve your IGNOU Doubts

Question:

Show that $2z= (ax+y)^{2}+b$ where a and b are arbitrary constants is a complete integral of $px +qy -q^{2}=0$

See Answer →

Question:

Verify that the total differential equation $yz dx + (x^{2}y-zx)+dy+(x^{2}z-xy)dz =0$ is integrable and hence find its integral

See Answer →

Question:

Find the general integral of the equation ( x − y) p + (y − x − z) q = z and a particular solution through the circle z=1,x²+y²= 1

See Answer →

Question:

Solve the PDE $\frac{\partial z}{\partial x}+\frac{\partial z}{\partial y}=z^{2}$

See Answer →

Question:

Check whether the differential equation (x + y ) p +sin( x + y) q = z² + z cos is quasi-linear or not.

See Answer →

Question:

A simple series circuit has an inductor of 1 henry, a capacitor of 10^-6 farads and a resistor of 1000 ohms. The initial charge on the capacitor is zero. If a 12 volt battery is connected to the circuit and the circuit is closed at t =0, find the charge on the capacitor 1 second later and the steady state charge.

See Answer →

Question:

Using the method of undetermined coefficients, find the general solution of the differential equation

$y(iv)-2y{}''+2y{}''=3e^{-x}+2e^{-x}x+e^{-x}sin \: x$

See Answer →

Question:

Identify the type of the differential equation y = yx ′ +1 − ln y′and hence solve it.

See Answer →

Question:

Solve the following initial value problem

$\frac{d^{2}y}{dx^{2}}+\frac{dy}{dx}-2=-6sin2x-18cos2x$

$y (0)=2, y{}'(0)=2$

See Answer →

Question:

Find the general solution of the equation $x\frac{dy}{dx}+ 4y=x^{5}e^{x}$ using the method of variation of parameters.

See Answer →

Question:

Solve the differential equation

$\frac{dy}{dx}+ \left ( \frac{{x}}{1-x^{2}} \right )y=x\sqrt{y,}y(0)=1$

See Answer →

Question:

Given that $y_{_{1}}(x)=x^{^{-1}}$ is one solution of the differential equation

$2x^{2}y{}''+3xy{}'-y=0,x> 0$

find a second linearly independent solution of the equation

See Answer →

Question:

Solve the differential equation

$\frac{dy}{dx}+xy=y^{2}e^{x^{2/2}}sin x$

See Answer →

Question:

Find the solution of the Riccati equation

$\frac{dy}{dx }=\frac{2cos ^{2}x-sin^{2}x+y^{2}}{2cosx}:\: \: y_{1}(x) =sin x$

See Answer →

Question:

Find the value of b for which the equation

$( ye^{2xy}+x) dx + bxe^{2xy}dy =0$ is exact.

See Answer →

Question:

2^x is a particular integral for y ${}'$ -y =2e^x

See Answer →

Question:

2^x is a particular integral for y ${}'$ -y =2e^x

See Answer →

Question:

Equation X^₂ ( Y- Px ) = yp2 is reducible to clairaut’s form.

See Answer →

Question:

i) $y{}'+P(x)y=Q(x)y^{n}$ is a linear equation for integral values of n

ii) y=0 is a singular solution of the differential equation $27 y-8 \left ( \frac{dy}{dx} \right )^{3} =0$

iii) $\frac{1}{xy^{2}+y^{4}}$ is an integrating factor for the differential equation

$( x^{2}y+y^{2}) dx +( y^{3}-x^{3})dy=0$

See Answer →

Question:

Denote by a, b and c the column vectors

$a=\begin{pmatrix} 1\\ 2 \\ 3 \end{pmatrix},b=\begin{pmatrix} -2\\ 1 \\ -3 \end{pmatrix},c=\begin{pmatrix} -2\\ -1 \\ 1 \end{pmatrix}$

Calculate 2a - 5b, 2a- 5b +c, a ^/ .b,

See Answer →

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★

Top

Call Support Instant phone assistance

WhatsApp Chat Fast live messaging

Email Us Business enquiries & support