Solve $(y^2+2x^2y)dx+(2x^3-xy)dy=0$ - Mathematics Stack …
Jan 2, 2018 · $$\mu M\,\mathrm dx+\mu N\,\mathrm dy=0$$ To meet the conditions of exactness, we require $$(\mu M)_y=(\mu N)_x\implies\mu_y M+\mu M_y=\mu_xN+\mu N_x$$ $$\implies \mu_y(y^2+2x^2y)-\mu_x(2x^3-xy)=\mu(4x^2-3y)$$ Let's attempt the traditional guess of $\mu(x,y)=x^ay^b$. Substituting into the PDE above, we have
Solve the differential equation $(x^2+y^2+2x)dx+2ydy=0.$
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Solve: $ye^{xy}\\mathrm dx+(xe^{xy}+2y)\\mathrm dy=0$
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How to solve $(y-x)dx+(x+y)dy=0$ with given condition $y(0)=1$?
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Find the solution of $(xy^2+2x^2y^3)dx+(x^2y-x^3y^2)dy=0$
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Solve $(2x^3+3x^2y+y^2-y^3)dx+(2y^3+3xy^2+x^2-x^3)dy=0$
Mar 16, 2021 · Solve the differential equation $$(2x^3+3x^2y+y^2-y^3)dx+(2y^3+3xy^2+x^2-x^3)dy=0$$ I don't know how to solve it, and I have tried many methods,but they didn't work! Skip to main content Stack Exchange Network
Non-Exact solution to ODE - Mathematics Stack Exchange
Feb 15, 2020 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
(x^2+xy^4)dx+ 2y^3dy=0 - Mathematics Stack Exchange
Dec 25, 2019 · Prove that $ {e^x}^2 $ is an integrating factor of the equation $$ (x^2+xy^4)dx+ 2y^3dy=0 $$ and hence solve it. I have tried to solve the equation, however, I am getting the $ e^{2x^2} $ as the
Solve $(y+1)dx+(x+1)dy=0$ - Mathematics Stack Exchange
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Solving ODE, reduce to exact differential equation
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