Use the method for solving Bernoulli equations to solve the following differential equation. dy y dx x-8 + 1 2 = 5(x-8)y 1-n Find an expression for v in the form v=y Find the linear differential satisfied by v. dv dx (Type an expression using x and v as the variables.) Solve for v. v= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) Ignoring lost solutions, if any, the general solution is y=- (Type an expression using x as the variable. Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the method for solving Bernoulli equations to solve the following differential equation.
dy
y
dx x-8
+
1
2
= 5(x-8)y
1-n
Find an expression for v in the form v=y
Find the linear differential satisfied by v.
dv
dx
(Type an expression using x and v as the variables.)
Solve for v.
v=
(Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Ignoring lost solutions, if any, the general solution is y=-
(Type an expression using x as the variable. Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Transcribed Image Text:Use the method for solving Bernoulli equations to solve the following differential equation. dy y dx x-8 + 1 2 = 5(x-8)y 1-n Find an expression for v in the form v=y Find the linear differential satisfied by v. dv dx (Type an expression using x and v as the variables.) Solve for v. v= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) Ignoring lost solutions, if any, the general solution is y=- (Type an expression using x as the variable. Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
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