13 questions linked to/from Accessing Reduce from DSolve
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### Reduce in NDSolve [duplicate]

Second order ode; neither the trig RHS simplifies nor is the solution obtained readily: ...
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### DSolve throws an error about Solve and returns unevaluated [duplicate]

I evaluate: DSolve[{2*y[x] + y'[x]^2 + a*x^b == 0}, y[x], x] During evaluation of In:= Solve::ifun: Inverse functions are being used by Solve, so some ...
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### How to understand the results of solve:ifun? [duplicate]

I am trying to obtain an analytical solution of the following equation: My goal is to express \rho in terms of all other parameters (analytically solve RR function), so what is the result that ...
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### Trying to find the asymptote to a function

I am trying to find the asymptote to a solution of a differential equation. I solved $x'(t) = \sin(x(t) + t)$ using NDSolve and plotted my solution. ...
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### DSolve misses a solution of a differential equation

[Note that in the cited duplicate, DSolve not finding solution I expected, the general solution returned by DSolve is missing a solution for quite different reasons ...
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### Coupled linear time-varying system of differential equations. Analytical solution?

How to solve the system analytically in the interval {to,t} ...
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### Why does DSolve return two solutions for my ODE?

I wanted to solve the differential equation: $y’ = (1+2x)\sqrt{y}$ with $y(0) = 1$. It can be done by hand, and to check my answer I typed the following in Mathematica ...
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### Unexpected warning from DSolve

I'm trying to solve this differential equation with respect to $x$ $$\frac{d^2y}{dx^2}-\bigg(\frac{dy}{dx}\bigg)^2-\frac{1}{x}\frac{dy}{dx}=\frac{1}{x^2}$$ With boundary condition \$y(1)=2, y'(1)=-...
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### DSolve with SetOptions[Solve, Method -> Reduce] Behaving Differently in Ver 11.1.1

With version "11.1.1 for Microsoft Windows (64-bit) (April 18, 2017)", DSolve[{SI'[s] == Sin[PH[s]] , PH'[s] == Sin[SI[s]]/e}, {SI[s], PH[s]}, s] produces the ...
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### Ordinary differential equation invloving the function composition

I want to solve the following function: DSolve[(A1*Exp[B1*f[x]] + A2*Exp[B2*f[x]])*f'[x] == A1*Exp[B1*x] + A2*Exp[B2*x], f[x], x] And this is what I get as an ...
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### Result interpretation of a general solution of a nonlinear differential equation

My goal is to find the general solution of the following nonlinear differential equation: $$x'(t) = e^{-t} - \sqrt{x(t)}$$ Following this guide, I've entered in the Wolfram Mathematica the following ...