The rate of change of with respect to is proportional to .
The differential equation is .
Integrate with respect to .
Rewrite the expression.
.
The general solution is .
![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=fcc7c55bd49f643ec1d9ecec2223a589.png\")
with respect to ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a16a536fef06fc1158565c7288e36387.png\")
is proportional to ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d4b83a41b19da49bdc11e2ca2f5443be.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4f8808036b2c3a28ae77112e4b6668e0.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f8bd3cd7ef0fbfd67d137a7d8cfc5c87.png\")
![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=a16a536fef06fc1158565c7288e36387.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f8bf06a0b903c9c8a077f948a72ad7ab.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=8984c5fe04fad1b63edfebb4d56bd267.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9b01685870156ccb6c5bd83dd68372d2.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=087ce3ed9b9137bd6cf3a8f82234948b.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7b55e072da9063e54b4c0c584b2e0e0c.png\")
.![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=7b55e072da9063e54b4c0c584b2e0e0c.png\")
.![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
.