query: Solving quasi-linear PDE, $x \frac{\partial{u}}{\partial{x}} - u\frac{\partial{u}}{\partial{t}} = t$ , $u(1,t) = t$, $-\infty < t < \infty$
positive_passages.docid: 149879
positive_passages.text: Sketching base characteristics of first order pde
negative_passages.docid: 133471
negative_passages.text: Solve a PDE on a domain $\Omega$ with given boundary conditions
negative_passages.docid: 118462
negative_passages.text: How to solve this first-order differential equation?
negative_passages.docid: 88080
negative_passages.text: Applying MVT to function that has limit of its derivative given when $x\to\infty$
negative_passages.docid: 67158
negative_passages.text: Solve $y'-\int_0^xy(t)dt=2$
negative_passages.docid: 119410
negative_passages.text: Solution of $\int_0^\infty\frac{\ln(1+{x^2})}{1+{x^2}}$
negative_passages.docid: 121381
negative_passages.text: Finding solution of non linear DE $x\ddot{x}-\dot{x}^2=1$
negative_passages.docid: 142436
negative_passages.text: Solving a PDE with variable coefficients
negative_passages.docid: 71465
negative_passages.text: solution of $y' = \exp \left(-\frac yx\right) + \frac yx$
negative_passages.docid: 158927
negative_passages.text: How to solve 1D heat equation with Neumann boundary conditions?
negative_passages.docid: 137349
negative_passages.text: Solving Wave Equation with Initial Values
negative_passages.docid: 152143
negative_passages.text: Limits for the solution of the non-linear ODE
negative_passages.docid: 85094
negative_passages.text: A problem from Evans' PDEs book: find a Lagrangian for a given Euler-Lagrange equation
negative_passages.docid: 37584
negative_passages.text: How many "constants of integration" will a PDE have?
negative_passages.docid: 131786
negative_passages.text: Why are second order linear PDEs classified as either elliptic, hyperbolic or parabolic?
negative_passages.docid: 49284
negative_passages.text: Solving an ODE in power series
negative_passages.docid: 9143
negative_passages.text: Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$