# Complex Variables and Partial Differential Equations(3130005)

CVPDE-3130005   HIgher order partial differential equations and applications
BE | Semester 3  Unit : HIgher order partial differential equations and applications

## Q4 (c) Winter-2019   Solve :  for the condition of heat along rod without radiation subject to the conditions  for and & at for all $\mathrm{x}$.

Unit : HIgher order partial differential equations and applications

## Q4 (a) Winter-2019   Solve .

Unit : HIgher order partial differential equations and applications

## Q4 (c ( i )) Summer-2020   Solve the p.d.e.

Unit : HIgher order partial differential equations and applications

## Q4 (c) Winter-2019   Find the general solution of partial differential equation using method of separation of variables.

Unit : HIgher order partial differential equations and applications

## Q5 (a) Winter-2019   Using method of separation of variables, solve .

Unit : HIgher order partial differential equations and applications

## Q5 (c) Winter-2019   A string of length has its ends fixed at and . At time , the string is given a slope defined by , then it is released. Find the deflection of the string at any time $\mathrm{t}$.

Unit : HIgher order partial differential equations and applications

## Q4 (c ( i )) Summer-2020   Solve the PDE .

Unit : HIgher order partial differential equations and applications

## Q5 (a) Summer-2020   Solve

Unit : HIgher order partial differential equations and applications

## Q5 (b) Summer-2020   Solve the p.d.e.  using method of separation of variables.

Unit : HIgher order partial differential equations and applications

## Q5 (b) Winter-2019   Find the temperature in the thin metal rod of length $\mathrm{L}$ with both the ends insulated and initial temperature is .

Unit : HIgher order partial differential equations and applications

## Q5 (c) Winter-2019   Derive the one dimensional wave equation that governs small vibration of an elastic string. Also state physical assumptions that you make for the system.

Unit : HIgher order partial differential equations and applications

## Q5 (c) Summer-2020   Find the solution of wave equation with initial and boundary condition

Unit : HIgher order partial differential equations and applications

## Q5 (a) Summer-2020   Solve .

Unit : HIgher order partial differential equations and applications

## Q5 (b) Summer-2020   Using method of separation of variables, solve .

Unit : HIgher order partial differential equations and applications

## Q5 (c) Summer-2020   Find the solution of  together with the initial and boundary conditions

Unit : HIgher order partial differential equations and applications