The solution of differential equation $\frac{{{\partial ^3}z}}{{\partial {x^3}}} - 3\frac{{{\partial ^3}z}}{{\partial {x^2}\partial y}} + 4\frac{{{\partial ^3}z}}{{\partial {y^3}}} = {e^{x + 2y}}$ is

Question

The solution of differential equation $\frac{{{\partial ^3}z}}{{\partial {x^3}}} - 3\frac{{{\partial ^3}z}}{{\partial {x^2}\partial y}} + 4\frac{{{\partial ^3}z}}{{\partial {y^3}}} = {e^{x + 2y}}$ is

TuteeHUB · Accepted Answer

z = f1 (y - x) + f2 (y + 2x) + xf3 (y + 2x) + $\frac{{{e^{x + 2y}}}}{{23}}$

TuteeHUB · Answer

z = f1 (y - x) + f2 (y + 2x) + xf3 (y + 2x) + $\frac{{{e^{x + 2y}}}}{{27}}$

TuteeHUB · Answer

z = f1 (y + x) + f2 (y + 2x) + xf3 (y + 2x) + $\frac{{{e^{x + 2y}}}}{{27}}$

TuteeHUB · Answer

z = f1 (y - x) + f2 (y - 2x) + xf3 (y + 2x) + $\frac{{{e^{x + 2y}}}}{{23}}$

1.	The solution of differential equation \(\frac{{{\partial ^3}z}}{{\partial {x^3}}} - 3\frac{{{\partial ^3}z}}{{\partial {x^2}\partial y}} + 4\frac{{{\partial ^3}z}}{{\partial {y^3}}} = {e^{x + 2y}}\) is
A.	z = f1 (y - x) + f2 (y + 2x) + xf3 (y + 2x) + \(\frac{{{e^{x + 2y}}}}{{27}}\)
B.	z = f1 (y - x) + f2 (y + 2x) + xf3 (y + 2x) + \(\frac{{{e^{x + 2y}}}}{{23}}\)
C.	z = f1 (y + x) + f2 (y + 2x) + xf3 (y + 2x) + \(\frac{{{e^{x + 2y}}}}{{27}}\)
D.	z = f1 (y - x) + f2 (y - 2x) + xf3 (y + 2x) + \(\frac{{{e^{x + 2y}}}}{{23}}\)
Answer» B. z = f1 (y - x) + f2 (y + 2x) + xf3 (y + 2x) + \(\frac{{{e^{x + 2y}}}}{{23}}\)

The solution of differential equation \(\frac{{{\partial ^3}z}}{{\partial {x^3}}} - 3\frac{{{\partial ^3}z}}{{\partial {x^2}\partial y}} + 4\frac{{{\partial ^3}z}}{{\partial {y^3}}} = {e^{x + 2y}}\) is

Discussion

No Comment Found

Related MCQs

Reply to Comment