The solution of the differential equation dy/dx = exy x2 ey is (A) y = exy x2 ey c (B) ey ex = x3/3 c (D) ex ey = x3/3 c Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queries3 MATHEMATICS Example 1 Find the order and degree, if defined, of each of the following differential equations (i) cos 0 dy x dx −= (ii) 2 2 2 0 d y dy dy xy x y dx dx dx −= (iii) y ye′′′ =2 y′ 0 Solution (i) The highest order derivative present in the differential equation isSolution for Solve dy/dx=2xy/(x^2y^2) Q A group of 150 tourists planned to visit East AfricaAmong them, 3 fall ill and did not come, of th A Consider the provided question, First draw the Venn diagram according to the given question, Let K r
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(1)/(2x)(dy)/(dx)+(x+y)/(x^(2)+y^(2))=0
(1)/(2x)(dy)/(dx)+(x+y)/(x^(2)+y^(2))=0-Equation is now exact Solution is F (x,y) = C, where ∂F/∂x = M (x,y) = (xy²y³y²) F (x,y) = ∫ (xy²y³y²) dx = ½ x²y² xy³ xy² G (y) ∂F/∂y = N (x,y) = (x²y3xy²2xy) F (x,y) = (x²y3xy²2xy) dy = ½ x²y² xy³ xy² H (x) Comparing both values of F (x,y), we see that G (y) = 0, H (x) = 0 SolutionVerify that x^2 cy^2 = 1 is an implicit solution to \frac {dy} {dx} = \frac {xy} {x^2 1} If you're assuming the solution is defined and differentiable for x=0, then one necessarily has y (0)=0 In this case, one can easily identify two trivial solutions, y=x and y=x If you're assuming the solution is defined and
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Ex 9 6, 9 Find general solution x dy/dx y x xy cot x How to solve (x y) dy (xy) dx=0 Quora Solve the differential equation dy/dx = (2y x) / (2x y Ex 9 5, 4 Show homogeneous (x2 y2) dx 2xy dy = 0 Ex 9 4, 12 Find particular solution x (x2 1) dy/dx = 1, y=0Simple and best practice solution for (2x^2y)dx(x^2yx)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homeworkSwap sides so that all variable terms are on the left hand side dy=x^ {2}\frac {\mathrm {d} (y)} {\mathrm {d}x}xy\frac {\mathrm {d} (y)} {\mathrm {d}x} d y = − x 2 d x d ( y) x y d x d ( y) The equation is in standard form The equation is in standard form yd=0
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