query: How to solve the differential equation for power series $(1+x^2)y'' - 6xy=0$ for $x_{0}=0$
positive_passages.docid: 142288
positive_passages.text: How to solve the diffencial equation for power series $(1+x²)y'' - 6xy=0$ in $x_{0}=0$
negative_passages.docid: 87976
negative_passages.text: How to solve these series?
negative_passages.docid: 15025
negative_passages.text: Solve $xu_x+(x+y)u_y=1$ when $u(1,y)=y$
negative_passages.docid: 81596
negative_passages.text: Series expansion at $x=0$ of $\frac{3x}{1+x^2 + x^4}$
negative_passages.docid: 81337
negative_passages.text: How to solve $(1-\tan^2x)\sec^2x+2^{\tan^2x}=0$
negative_passages.docid: 9143
negative_passages.text: Solve $u_{xx}-3u_{xt}-4u_{tt}=0$ where $u(x,0)=x^2$ and $u_t(x,0)=e^x$
negative_passages.docid: 145504
negative_passages.text: Help solving variable separable ODE: $y' = \frac{1}{2} a y^2 + b y - 1$ with $y(0)=0$
negative_passages.docid: 131581
negative_passages.text: Convert $\frac{d^2y}{dx^2}+x^2y=0$ to Bessel equivalent and show that its solution is $\sqrt x(AJ_{1/4}+BJ_{-1/4})$
negative_passages.docid: 153170
negative_passages.text: Find the number of solutions of the equation $e^{4x}+e^{3x}-4e^{2x}+e^x+1=0$
negative_passages.docid: 20491
negative_passages.text: How to solve this equation $x^{2}=2^{x}$?
negative_passages.docid: 69682
negative_passages.text: Roots of $y=x^3+x^2-6x-7$
negative_passages.docid: 31615
negative_passages.text: How do I plot a solution of a differential equation?
negative_passages.docid: 124275
negative_passages.text: Solve the differential equations:
negative_passages.docid: 117843
negative_passages.text: Finding the sum of series $\sum_{n=0}^∞ \frac{2^n + 3^n}{6^n}$
negative_passages.docid: 154829
negative_passages.text: How to solve $y'' + y = y^{-3}$
negative_passages.docid: 7610
negative_passages.text: Solving ODE with negative expansion power series
negative_passages.docid: 142460
negative_passages.text: Exact Differential Equations $(axy^2+by)dx+(bx^2y+ax)dy=0$.