由于 2yd 2 yd 对于 x x 是常数，所以将 2yd 2 yd 移到积分外。 根据幂法则， x2 x 2 对 x x 的积分是 1 3x3 1 3 x 3。 化简答案。 点击获取更多步骤... 免费的数学问题解答者采用逐步解题讲解 …

2012年10月28日 · 2xydx+ (x^2-y^2)dy=0 2xydx+x^2dy-y^2dy=0 d (x^2y)-d (y^3/3)=0 通解为：x^2y-y^3/3=C

Multiply both sides of 2xydx + (y2 - 3x2)dy = 0 by the integration factor 1 y4. Tap for more steps... Set f(x, y) equal to the integral of M(x, y). Integrate M(x, y) = 2x y3 to find f(x, y). Tap for more …

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Since 2yd 2 yd is constant with respect to x x, move 2yd 2 yd out of the integral. 2yd∫ x2dx 2 yd ∫ x 2 d x. By the Power Rule, the integral of x2 x 2 with respect to x x is 1 3x3 1 3 x 3. 2yd(1 3x3 …

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2xydx+x2dy=0 Three solutions were found : d = 0 y = 0 x = 0 Step by step solution : Step 1 :Equation at the end of step 1 : 3x2yd = 0 Step 2 :Solving a Single Variable Equation : ...

I have the following ODE problem : $$2xydx + (1+ x^2 )dy=0$$ First of all, I don't like this weird differential notation, but I assume I can just rewrite it as $$2xy + (1+ x^2 )\frac {dy} {dx}=0$$...

Firstly, you conjecture D(xy)= D(x)D(y) x or y = 1, or both x,y are powers of 2. I have no ... u_t - yu_x + xu_y = 0 \frac {dt} {1} = \frac {dx} {-y} = \frac {dy} {x} = \frac {du} {0} \quad \text {is OK.} …

2021年3月31日 · 微分方程2xydx=dy的通解？ 简单计算一下即可，答案如图所示.