Solve $(y^2+2x^2y)dx+(2x^3-xy)dy=0$ - Mathematics Stack …
2018年1月2日 · $$\mu M\,\mathrm dx+\mu N\,\mathrm dy=0$$ 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 $(x^2+y^2+2x)dx+2ydy=0.$
2023年3月8日 · 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.
Solve the differential equation: $(x^2-y^2)dx+2xydy=0$.
2023年2月20日 · 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.
Solve: $ye^{xy}\\mathrm dx+(xe^{xy}+2y)\\mathrm dy=0$
2018年8月8日 · 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.
Solve $(2x^3+3x^2y+y^2-y^3)dx+(2y^3+3xy^2+x^2-x^3)dy=0$
2021年3月16日 · 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
How to solve $(y-x)dx+(x+y)dy=0$ with given condition $y(0)=1$?
2023年6月26日 · 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.
Solve $\\left(3x^2y …
2023年2月19日 · $\left(3x^2y-xy\right)dx+\left(2x^3y^2+x^3y^4\right)dy=0$ I'm trying to solve this first-order differential equation. I know it's not an exact equation so I'm trying to use the method taught in class to solve it. I get stuck trying to do the integrating factor. Below is what I have:
Non-Exact solution to ODE - Mathematics Stack Exchange
2020年2月15日 · 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.
Solve: $ (y^2+ 2x^2y)dx + (2x^3 - Mathematics Stack Exchange
2019年12月27日 · Solve: $$ (y^2+ 2x^2y)dx + (2x^3 - xy)dy = 0 $$ I tried to solve the differential equation in the following manner, but I am unable to arrive at the correct solution.
Solve the following Diffrential Equation $(x+y+1)dx+(2x+2y-1)dy=0$
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