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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. (π₯^2βπ¦^2 )ππ₯+2π₯π¦ ππ¦=0 step 1: Let f (x, y) =.
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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.
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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.
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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. Show that the differential equation 2xy dy/dx=x^2+3y^2 is homogeneous and solve it.
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Find ππ¦/ππ₯ (π₯^2βπ¦^2 )ππ₯+2π₯π¦ ππ¦=0 2xy dy = β (π₯^2βπ¦^2 ) dx 2xy dy = (π¦^2βπ₯^2 ).
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