query: Solve $2tx'(t)-x(t)=\ln x'(t)$
positive_passages.docid: 147937
positive_passages.text: Second-order non-linear ODE
negative_passages.docid: 144146
negative_passages.text: find a $\int_{x}^{g(x)} f(t)\,dt = 1$
negative_passages.docid: 121248
negative_passages.text: How to solve this recurrence $T(n) = 2T(n/2) + n\log n$
negative_passages.docid: 40805
negative_passages.text: Solve $u_t=u_{xx}+u_x$
negative_passages.docid: 143585
negative_passages.text: Solve the integral $\frac 1 {\sqrt {2 \pi t}}\int_{-\infty}^{\infty} x^2 e^{-\frac {x^2} {2t}}dx$
negative_passages.docid: 25598
negative_passages.text: What is i(t) from circuit with differential equation?
negative_passages.docid: 145941
negative_passages.text: Solve recurrence equation $T(n)=2T(n-1)-4$
negative_passages.docid: 12072
negative_passages.text: Analytic solution for $x=\ln(x+1)$
negative_passages.docid: 30695
negative_passages.text: Can I solve this differential equation at a point?
negative_passages.docid: 75092
negative_passages.text: Initial value problem $x'=x^{2/3}$
negative_passages.docid: 124275
negative_passages.text: Solve the differential equations:
negative_passages.docid: 83488
negative_passages.text: Integrating $\ln x$ by parts
negative_passages.docid: 17154
negative_passages.text: Does a non-trivial solution exist for $f'(x)=f(f(x))$?
negative_passages.docid: 12869
negative_passages.text: Solving SDE: $dX(t) = udt + \sigma X(t)dB(t)$
negative_passages.docid: 158938
negative_passages.text: Using DSolve to solve for x[t,parameter]
negative_passages.docid: 21857
negative_passages.text: Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$
negative_passages.docid: 49999
negative_passages.text: Express $y$ from $\ln(x)+3\ln(y) = y$