Solve the partial differential equation $x^3 \frac{∂u}{∂x} +y^2 \frac{∂u}{∂y} = 0 $ using method of separation of variables if $u(0,y) = 10 \, e^{\frac{5}{y}}.$

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TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$10e^{\frac{5}{2x^2}} e^{\frac{5}{y}} $

TuteeHUB · Answer

$10e^{\frac{-5}{2y^2}} e^{\frac{5}{x}} $

TuteeHUB · Answer

$10e^{\frac{-5}{2y^2}} e^{\frac{-5}{x}} $

TuteeHUB · Answer

$10e^{\frac{-5}{2x^2}} e^{\frac{5}{y}} $

1.	Solve the partial differential equation \(x^3 \frac{∂u}{∂x} +y^2 \frac{∂u}{∂y} = 0 \) using method of separation of variables if \(u(0,y) = 10 \, e^{\frac{5}{y}}.\)
A.	\(10e^{\frac{5}{2x^2}} e^{\frac{5}{y}} \)
B.	\(10e^{\frac{-5}{2y^2}} e^{\frac{5}{x}} \)
C.	\(10e^{\frac{-5}{2y^2}} e^{\frac{-5}{x}} \)
D.	\(10e^{\frac{-5}{2x^2}} e^{\frac{5}{y}} \)
Answer» E.

Solve the partial differential equation \(x^3 \frac{∂u}{∂x} +y^2 \frac{∂u}{∂y} = 0 \) using method of separation of variables if \(u(0,y) = 10 \, e^{\frac{5}{y}}.\)

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