Solving Differential Math Equations?
Solving Differential Math Equations?
The differential equation
exp(y)dy/dx = (4x+4)/(-1siny+9cosy)
has an implicit general solution of the form F(x,y)= K
In fact, because the differential equation is separable, we can define the solution curve implicitly by a function in the form F(x,y)= G(x)+H(y)=K
Find such a solution and then give the related functions requested.
How I did it:
integral(e^y(-siny+9cosy))dy= integral(4x+4)dx
RHS = 2x(x+2)+C
LHS = e^y(4cosy+5siny)
F(x,y)= e^y(4cosy+5siny)-2x(x+2) = K
However, my answer is not correct.
No Answers Posted Yet.