NCERT

Class 12 Maths includes the chapter Differential Equations as a part of calculus unit. As per the formal NCER  Definition, A differential equation is an equation that contains one or more derivatives of a dependent variable with respect to one or more independent variables.

For example:

$\frac{dy}{dx}=3x+2$

Here, the derivative $\frac {dy} {dx}$ represents the rate of change of $y$ with respect to $x$, and the equation defines how this rate changes with $x$.

Students must understand that a complete understanding of the topic can only come through solving all types of questions of the chapter in other words practice all exercises of the chapter. All exercises cover different types and levels of problems, including general and particular solutions, variables separable, and linear equations. We recommend our readers to take help of our Class 12 NCERT Solutions for Differential Equations while solving all the exercises to clear doubts, understand conceptual references and using formuals whenever neccessary.

NCERT Class 12 Differential Equations Solutions helps students in forming strong foundation to grasp related advance concepts. However Students may need additional resource for competitive exams like JEE, NDA, and CUET UG. Often questions are based directly on NCERT patterns, but many a times questions are asked  with advance level concepts, to tackle those questions students should refer to other reference material like Pathfinder, RS Chand books.

We all are aware that all the quesstions asked in the CBSE Class 12 Board Exams are based on NCERT Textbooks. This information tells that if students only cover whole NCERT textbook it will enough for the boards. Shiksha's NCERT Solutions are more than sufficient for CBSE Board Exams as they cover all textbook problems and provide accurate and step-by-step explanation of the questions. 

Differential Equations include various important topics which are important for class 12 boards as well as competitve exams. There are several important topics including order and degree of differential equations, general and particular solutions, variables separable method, homogeneous equations, and linear differential equations. Questions related to these topics are frequently asked in CBSE board exams.

According the Chapter 10 Thermal Properties of Matter, there are three primary methods of heat transfer - radiation, convection, and conduction. Convention takes place in fluids, conduction in solids, and radiation does not require a medium and involves the emission of electromagnetic waves. Each method plays a role in engineering applications like heating systems, insulation, and solar devices, and in natural phenomena. These methods operate under different physical principles.

Calorimetry is used to measure the amount of heat exchanged in the chemical or physical process. It is used to determine the heat transferred from or to a substance. It is useful in determining latent heat, specific heat, and energy changes in reactions. The principle is based on the law of conservation of energy, stating that in an isolated system, the hotter object's heat lost is exactly equal to the cooler one's heat gained, provided there is no exchange of heat with surroundings. 

The amount of heat needed to increase the temperature of one kilogram of a substance by one degree Celsius (or one Kelvin) is the specific heat capacity. It is measured in J/kg·K and it is a material-specific property. Substance with high specific heat makes them useful in thermal regulation systems such as water takes longer to heat or cool.
The formula is Q=mc? T, where m is mass, c is specific heat, and? T is the temperature change.

While preparing the Shiksha's NCERT Solutions for Applications of Derivatives, our experts have focused to make them easy to understand, complete, and crysatal clear concptual resource. Our NCERT Solutions provide simple and step-by-step explanations of the quesrtions of the exerrcise. 

Students can tak ehelp of our Solutions to understand topics like increasing/decreasing functions, tangents, normals, and maxima/minima with clarity. Shikhsa's NCERT solutions strictly follow the latest CBSE  2025 syllabus, making them ideal for board exam preparation as well as for basic competitive exam prep.