Solve:
$dy over dx space equals straight e to the power of straight x minus straight y end exponent plus straight x cubed straight e to the power of negative straight y end exponent$

Solution

The given differential equation is
$dy over dx space equals space straight e to the power of straight x minus straight y end exponent plus straight x cubed straight e to the power of negative straight y end exponent space space or space space dy over dx space equals space straight e to the power of straight x. space straight e to the power of negative straight y end exponent space plus space straight x cubed. straight e to the power of negative straight y end exponent space space or space space dy over dx space equals space left parenthesis straight e to the power of straight x plus straight x cubed right parenthesis space straight e to the power of negative straight y end exponent$
Separating the variables, we get, $1 over straight e to the power of negative straight y end exponent dy space equals space left parenthesis straight e to the power of straight x plus straight x cubed right parenthesis space dx$
$rightwards double arrow space space space integral straight e to the power of straight y space dy space equals space integral left parenthesis straight e to the power of straight x plus straight x cubed right parenthesis space dx space space rightwards double arrow space space space straight e to the power of straight y space equals space straight e to the power of straight x plus straight x to the power of 4 over 4 plus straight c$ is the required solution.

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Vector Algebra

Solve:
$dy over dx space equals straight e to the power of straight x minus straight y end exponent plus straight x cubed straight e to the power of negative straight y end exponent$

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:
y' + y = e^x

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Vector Algebra

Solve:

Some More Questions From Vector Algebra Chapter

Determine order and degree (if defined) of differential equations:y' + y = ex

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Solve:
$dy over dx space equals straight e to the power of straight x minus straight y end exponent plus straight x cubed straight e to the power of negative straight y end exponent$

Determine order and degree (if defined) of differential equations:
y' + y = e^x