2. Find the solution of the one dimensional heat equation ди Ət V J²u 0 < x
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- Which of the following equations are homogenous or not : x³+y3 1. у' ху? 2. y' 3D еу + sin: y 3. dy =dx x+y 4. y' = x2 x+y 5. y' = X-y х-у+3 6. y' = х+у-1a nonhomogeneous second-order linear equation and a complementary function yc are given. find a particular solution of the equation. x2y"- 4xy'+ 6y =x3; yc=c1x^2+ c2x^3How could the 1D heat equation represent physically?
- which of the following equation is a variable separable DE? |а. (х + хx^2y) dy %3 b. (х + у) dx- 2y dy с. 2у dx d.y^2 dx + (2х- 3у) dy (2х + ху^2) dx = 0 (х^2 + 1) dy = 0Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A. y" - 25y = 0 O B. y" + 25y = 0 O C. y" - 5y' + 25 = 0 O D.y" + 5y' - 25y = 0The general solution of y' = гор Y can be written in the form - C