query: Partial Differential Equation equal to a function
positive_passages.docid: 25730
positive_passages.text: Solve $u_x + u_y + u = e^{x+2y}$
negative_passages.docid: 49073
negative_passages.text: how to obtain solution for $u_t+u=u_{xx}$
negative_passages.docid: 149575
negative_passages.text: Order and degree of a differential equation
negative_passages.docid: 40805
negative_passages.text: Solve $u_t=u_{xx}+u_x$
negative_passages.docid: 8145
negative_passages.text: Comparison theorem for ODE
negative_passages.docid: 45363
negative_passages.text: Show that both mixed partial derivatives exist at the origin but are not equal
negative_passages.docid: 36574
negative_passages.text: Does separation of variables in PDEs give a general solution?
negative_passages.docid: 87390
negative_passages.text: Laplace equation of composite function
negative_passages.docid: 74100
negative_passages.text: How do you solve $f'(x) = f(f(x))$?
negative_passages.docid: 77331
negative_passages.text: $f$ function with $\nabla f=\bar{0}$
negative_passages.docid: 1641
negative_passages.text: Proving $f' = - \frac{\partial{F}/\partial{x}}{\partial{F}/\partial{y}}$
negative_passages.docid: 106038
negative_passages.text: Burgers' equation $u_y + uu_x = 0$ with $u(x,0)=-x$
negative_passages.docid: 56712
negative_passages.text: How can I find the domain and derivative of the function?
negative_passages.docid: 21879
negative_passages.text: Show that if $\lim_{x\to a}f'(x) = A$ then $f'(a)$ exists and equals A
negative_passages.docid: 20280
negative_passages.text: Proving that expression is equivalent to the definition of derivative
negative_passages.docid: 107727
negative_passages.text: $m\{x\in [0,1]:f'(x)=0\}>0$
negative_passages.docid: 140936
negative_passages.text: If two integrals are equal, then the functions are the same