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 $(x^2+y^2+2x)dx+2ydy=0.$
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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.
If $f (x) = x^3+3x+4\;,$ Then value of $ \int_ {-1}^ {1}f (x)dx+\int ...
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ordinary differential equations - how to solve, $(x^2 …
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Evaluate the integral $\\int_\\Gamma(y^2-z^2)dx+(z^2 …
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How to solve $(y-x)dx+(x+y)dy=0$ with given condition $y(0)=1$?
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Solve $(y+1)dx+(x+1)dy=0$ - Mathematics Stack Exchange
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How to solve the following differential equation $(y^3 …
2019年8月29日 · I'd love your help with solving this following differential equation: $$(y^3-2yx^2)dx+(2xy^2-x^3)dy=0.$$ I am trying to use the method of finding integrating factor, that is $\frac{1}{Mx+Ny}$.
Differential equation $(ax+by+c)dx+(ex+fy+g)dy=0$
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