Expert Community at Your Service
Solve your problem for the price of one coffee
First, let us find the solution of the homogeneous equationy′+xy=0We get,y′+xy=0⇒y′=−xy⇒dydx=−xy⇒dyy=(−x)dxBy integrating both sides, we get,∫dyy=∫(−x)dx⇒ln(y)−x22+ln(C)⇒log(y)−log(C)=−x22⇒(yC)=−x22⇒y=Cex22So, the general solution of the given differential equation is given byae−x22+e−x22∫exe−x22dx
Explanation on photo
Ask your question. Get your answer. Easy as that
Find Laplace Transform of each following (a) tn , (b) cosωt
Get answers within minutes and finish your homework faster
Or
Dont have an account? Register
Create a free account to see answers
Already have an account? Sign in