We are given the expression (x 2 + y 2) d x 2 x y d y = 0 and we need to solve for this differential equation. Find 𝑑𝑦/𝑑𝑥 (𝑥^2−𝑦^2 )𝑑𝑥+2𝑥𝑦 𝑑𝑦=0 2xy dy = − (𝑥^2−𝑦^2 ) dx 2xy dy = (𝑦^2−𝑥^2 ). (𝑥^2−𝑦^2 )𝑑𝑥+2𝑥𝑦 𝑑𝑦=0 step 1:
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Let f (x, y) =. Show that the differential equation 2xy dy/dx=x^2+3y^2 is homogeneous and solve it. 2xy (dy/dx) = x2 + y2.
So this is the required answer.
Step by step video, text & image solution for the differential equation 2xy dy = (x^2 + y^2 + 1) dx determines by maths experts to help you in doubts & scoring excellent marks in class 12 exams. The final form will lead us to recognize it as: Step by step video & image solution for if 2xydy= (x^2+y^2+1).dx,y (1)=0 and y (x_0)=sqrt3 then x_0 can be by maths experts to help you in doubts & scoring excellent marks. Ex 9.4, 4 show that the given differential equation is homogeneous and solve each of them.
As a first step, we need to find d y d x from (x 2 + y 2) d x 2 x y d y = 0. Identifying the curve after simplification, we can identify the curve represented by the equation.
