Question:
The solution of x partial differential equation
\(\frac{\partial u}{\partial x}=2\frac{\partial u}{\partial t}+U\)
\(U(x,0)=6e^{-3x}\)
The solution of x partial differential equation
\(\frac{\partial u}{\partial x}=2\frac{\partial u}{\partial t}+U\)
\(U(x,0)=6e^{-3x}\)
\(\frac{\partial u}{\partial x}=2\frac{\partial u}{\partial t}+U\)
\(U(x,0)=6e^{-3x}\)
Updated On: Dec 19, 2024
- \(U=6e^{-3x-2t}\)
- \(U=6e^{3x-2t}\)
- \(U=6e^{3x+2t}\)
- \(U=6e^{-3x+2t}\)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is(A): \(U=6e^{-3x-2t}\)
Was this answer helpful?
2
0
Top Questions on Partial Differential Equations
- For all real values of \( x \) and \( y \), the partial differential equation in terms of \( \psi(x, y) \) given by \[ \frac{\partial^2 \psi}{\partial x^2} + 2 \frac{\partial^2 \psi}{\partial x \partial y} - 3 \frac{\partial^2 \psi}{\partial y^2} = 0 \] is ________
- GATE NM - 2025
- Engineering Mathematics
- Partial Differential Equations
Consider the ordinary differential equation:
- GATE AE - 2025
- Engineering Mathematics
- Partial Differential Equations
The partial differential equation \[ \frac{\partial^2 u}{\partial x^2} + 4 \frac{\partial^2 u}{\partial x \partial y} + 2 \frac{\partial^2 u}{\partial y^2} = 0 \] is ________.
- GATE AE - 2025
- Engineering Mathematics
- Partial Differential Equations
- Consider the ordinary differential equation: \[ \frac{1}{2} \frac{dy}{dx} + \frac{y}{x} = 1. { If } y = \frac{2}{3} { at } x = 1, { then the value of } y { at } x = 3 { is } \_\_\_\_\_\_ { (rounded off to the nearest integer).} \]
- GATE AE - 2025
- Engineering Mathematics
- Partial Differential Equations
- The partial differential equation \[ \frac{\partial^2 u}{\partial x^2} + 4 \frac{\partial^2 u}{\partial x \partial y} + 2 \frac{\partial^2 u}{\partial y^2} = 0 \] is \_\_\_\_\_\_.
- GATE AE - 2025
- Engineering Mathematics
- Partial Differential Equations
View More Questions
Questions Asked in CUET PG exam
- What is the antonym of eradicate?
- CUET (PG) - 2025
- Antonyms
- What is the correct verb form: He, as well as his friends, ?
- Identify the possessive noun: My office car is parked elsewhere.
- When did the Dutch set up their factory at Nizampatnam?
- CUET (PG) - 2025
- Medieval Indian History
- What is the one-word synonym for connotation?
- CUET (PG) - 2025
- Synonyms
View More Questions