6. Assume (x, y, z) = f(x)g(y)h(z), separate the partial differential equation อยฟ 2² อริ Sin(x) +y³. + dx² дуг +4=0 əz² to three ordinary differential equations that have only one variable involved in each equation.

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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6. Assume (x, y, z) = f(x)g(y)h(z), separate the partial differential equation
8²4 อยฟ
.2²4
+e².
dz²
+=0
dx² dy²
Sin(x) +
to three ordinary differential equations that have only one variable involved in each
equation.
Transcribed Image Text:6. Assume (x, y, z) = f(x)g(y)h(z), separate the partial differential equation 8²4 อยฟ .2²4 +e². dz² +=0 dx² dy² Sin(x) + to three ordinary differential equations that have only one variable involved in each equation.
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