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LSpice
LSpice
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non constant coefficient Non-constant-coefficient second order-order linear odeODE

I came across this equation in my research (related to reaction diffusion system): $$\frac{d^2y}{dr^2}+B\,\text{sech}^2(r) \frac{dy}{dr} + Cy = 0$$$$\frac{d^2y}{dr^2}+B\operatorname{sech}^2(r) \frac{dy}{dr} + Cy = 0$$ Where Bwhere $B$ and C$C$ are constants. May I ask is this possible toCan it be solved analytically?

non constant coefficient second order linear ode

I came across this equation in my research (related to reaction diffusion system) $$\frac{d^2y}{dr^2}+B\,\text{sech}^2(r) \frac{dy}{dr} + Cy = 0$$ Where B and C are constants. May I ask is this possible to be solved analytically?

Non-constant-coefficient second-order linear ODE

I came across this equation in my research (related to reaction diffusion system): $$\frac{d^2y}{dr^2}+B\operatorname{sech}^2(r) \frac{dy}{dr} + Cy = 0$$ where $B$ and $C$ are constants. Can it be solved analytically?

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Glorfindel
Glorfindel
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I came across this equation in my research (related to reaction diffusion system) $$\frac{d^2y}{dr^2}+Bsech^2(r) \frac{dy}{dr} + Cy = 0$$$$\frac{d^2y}{dr^2}+B\,\text{sech}^2(r) \frac{dy}{dr} + Cy = 0$$ Where B and C are constants. May I ask is this possible to be solved analytically?

I came across this equation in my research (related to reaction diffusion system) $$\frac{d^2y}{dr^2}+Bsech^2(r) \frac{dy}{dr} + Cy = 0$$ Where B and C are constants. May I ask is this possible to be solved analytically?

I came across this equation in my research (related to reaction diffusion system) $$\frac{d^2y}{dr^2}+B\,\text{sech}^2(r) \frac{dy}{dr} + Cy = 0$$ Where B and C are constants. May I ask is this possible to be solved analytically?

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Johnson
Johnson
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non constant coefficient second order linear ode

I came across this equation in my research (related to reaction diffusion system) $$\frac{d^2y}{dr^2}+Bsech^2(r) \frac{dy}{dr} + Cy = 0$$ Where B and C are constants. May I ask is this possible to be solved analytically?