query: Solution of differential equation $\frac{dy}{dx}=\frac{1}{xy(x^2 \sin y^2+1)}$
positive_passages.docid: 144644
positive_passages.text: Solution of $\frac{dy}{dx}=\frac{1}{xy(x^2 \sin y^2+1)}$
negative_passages.docid: 104319
negative_passages.text: Real solution of $(\cos x -\sin x)\cdot \bigg(2\tan x+\frac{1}{\cos x}\bigg)+2=0.$
negative_passages.docid: 118072
negative_passages.text: Division of differential equations
negative_passages.docid: 14656
negative_passages.text: The differential equation $xu_{x}+yu_{y}=2u$ satisfying the initial condition $y=xg(x),u=f(x)$
negative_passages.docid: 131570
negative_passages.text: Solve differential equation, $x'=x^2-2t^{-2}$
negative_passages.docid: 121455
negative_passages.text: $f(x)$ if $f(xy)=f(x) +f(y) +\frac{x+y-1}{xy}$
negative_passages.docid: 144841
negative_passages.text: Find general solution $y''y^3=1$
negative_passages.docid: 44366
negative_passages.text: ODE $\frac{dy}{dx}=x^{2}+y^{2}, y(0)=0.$
negative_passages.docid: 114861
negative_passages.text: equation $\frac{\frac{1}{x^2}-\frac{1}{y^2}}{\frac{1}{x^2}+\frac{1}{y^2}}$
negative_passages.docid: 118462
negative_passages.text: How to solve this first-order differential equation?
negative_passages.docid: 82170
negative_passages.text: Solve $x = \frac{1}{2}\tan(x)$
negative_passages.docid: 52672
negative_passages.text: Solution of $\frac{a}{b}=\frac{a'}{b'}$ if $a,b,a',b' \in \mathbb{N}$
negative_passages.docid: 158938
negative_passages.text: Using DSolve to solve for x[t,parameter]
negative_passages.docid: 27611
negative_passages.text: How to solve the differential equation: $yy'^2-2xy'+y=0$
negative_passages.docid: 26814
negative_passages.text: Solve $\int \frac{1}{\sin ^{\frac{1}{2}}x \cos^{\frac{7}{2}}x}dx$
negative_passages.docid: 127582
negative_passages.text: Solving of a seperable differential equation
negative_passages.docid: 152293
negative_passages.text: Solution of $y''+xy=0$