N = (2xy x 2 − 2) For a differential equation to be an exact differential equation, we need condition M y = N x M y = 2 (x y) N x = 2y 2x = 2 (x y) So, the given equation is an exact differential equation We are looking for the solution of the form Ψ (x, y) = C dΨ = Ψ x dx Ψ y dy = 0 ⇒Ψ x = (x y) 2 and Ψ y = (2xy x 2Equation is exact, so we can find F(x,y) such that Fx = M, Fy = N F(x,y) = ∫ M(x,y) dx F(x,y) = ∫ (x y)² dx F(x,y) = ∫ (x² 2xy y²) dx F(x,y) = 1/3 x³ x²y xy² g(y) F(x,y) = ∫ N(x,y) dy F(x,y) = ∫ (2xy x² − 3) dy F(x,y) = xy² x²y − 3y h(x) Comparing both values we see that h(x) =Extended Keyboard Examples Upload Random Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music
Solve The Differential Equation X 2 1 Dy Dx 2xy 1 X 2 1 Sarthaks Econnect Largest Online Education Community
X + y 2 dx + 2xy + x 2 − 1 dy 0 y 1 1
X + y 2 dx + 2xy + x 2 − 1 dy 0 y 1 1- In differential equation show that it is homogeneous and solve it dy/dx = 2xy/(x^2 y^2) asked in Differential Equations by Devakumari (Regard y as independent variable and x as dependant variable and find the slope of the tangent line to the curve (4x^2 2y2)^2 x^2y = 45 at point (3,4) Correct answer is Here's what I did 2(8x(dy/dx)
Solved In Problems 21 26 Solve The Given Initial Value Chegg Com
Consider the following initialvalue problem (x y)2 dx (2xy x2 − 8) dy = 0, y(1) = 1 Let ∂f ∂x = (x y)2 = x2 2xy y2 Integrate each term of this partial derivative with respect to x, letting h(y) be an unknown function in y f(x, y) = 13 x3x2yxy2 h(y) Find the;Scribd es red social de lectura y publicación más importante del mundo Scribd es red social de lectura y publicación más importante del mundo Abrir el menú de navegación Cerrar sugerencias Buscar Buscar es Change Language Cambiar idiomaThis problem has been solved!
Solution for 2 (2xy x)dy – x² y² y 1dx = 0 Whenx = 1;Free PreAlgebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators stepbystepFind the particular solution of the differential equation (1 – y^2) (1 log x) dx 2xy dy = 0, given that y = 0 when x = 1 CBSE CBSE (Commerce) Class 12 Question Papers 1799 Textbook Solutions MCQ Online Tests 29 Important Solutions 3664 Question Bank Solutions
If 3x^22xyy2=2 then the value of dy/dx x = 1 is A 2 B 0 C 2 D 4 E not defined algebra The following identity can be used to find Pythagorean triples, where the expressions x2−y2, 2xy, and x2y2 represent the lengths of three sides of a right triangle; Explanation dy dx = 1 2xy ∴ dy dx −2xy = 1 1 This is a First Order Linear nonhomogeneous Ordinary Differential Equation of the form;=0 when =1 (1 x2) 2xy = 1 1 2 divide both sides by (1 2) 2 1 2 = 1 1 2 (1 2) 2 1 2 y = 1 1 2 comparing with py = q p = 2 1 2 & q = 1 1 2 2 find integrating
Solve The Following Differential Equation 1 X 2 Dy Dx 2xy 1 1 X 2 Given Y 0 When X 1 Sarthaks Econnect Largest Online Education Community
Engineering Mathematics Notes
1年前 求椭球面x^22y^2x^2上平行于平面xy2z=0的切平面方程 1年前 口腔属于消化道吗？ 1年前 设两个相互独立的随机变量X和Y分别服从正态分布N（0，1）和N（1，1），则（ ） 1年前The ode is exact so it has a solution of the form Choose so that David Kaplan Mathematics Professor (1990–present) Author has 455 answers and 1576K answer views 8 mo Related What is the general solution of x^2 dx y (x1) dy=0? (x 2 y 2 ) dx 2xy dy = 0 given that y = 1 when x = 1 differential equations;
Differential Equations
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Solution for (A) (xy)* dx(2xy x² –1)dy = 0, y(1) =1 close Start your trial now!(y^22xy)dx=(x^22xy)dy Get the answers you need, now!The given Equation is an exact differential equation Solution is given by ∫ M d x ∫ ( T e r m s i n N n o t c o n t a i n i n g x) d y = c y=constant ∫ ( 1 y − 2 x) d x ∫ 3 y d y = c x y − 2 log x 3 log y = c ADD COMMENT EDIT Please log in to add an answer
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Solved For Problems 26 Determine An Integrating Factor Chegg Com
解：∵(3x^2y2xyy^3)dx(x^2y^2)dy=0 ==>(3x^2ydx2xydxx^2dy)(y^3dxy^2dy)=0 ==>(3x^2ye^(3x)dx2xye^(3x)dxx^2e^(3x)dy)(y^3e^(3x)dxy^2e^(3x)dy)=0 (等式两端同乘e^(3x)) ==>d(x^2ye^(3x))d(y^3e^(3x))/3=0 ==>x^2ye^(3x)y^3e^(3x)/3=C/3 (C是积分常数)The differential equation 2xydy=x 2y 21dx determines A A family of circles with centre on xaxis B A family of circles with centre on yaxis C A family of rectangular hyperbiola with centre on xaxis D A family of rectangulat hyperbola with centre on yIntegrating Factors Some equations that are not exact may be multiplied by some factor, a function u (x, y), to make them exact When this function u (x, y) exists it is called an integrating factor It will make valid the following expression ∂ (u·N (x, y)) ∂x
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Arrow_forward learn write tutor study resourcesexpand_more Study Resources We've got the study and writing resources you need for your assignments Start exploring!Q Q4 (a) Solve the Differential equation (x 1) – y(2xy 3y^2)dx (2xy x^2)dy = 0 Natural Language;
Solve The Following Differential Equation X 2 Y 2 Dx 2xy Dy 0 Given That Y 1 When X 1 Sarthaks Econnect Largest Online Education Community
Ex 9 5 4 Show Homogeneous X2 Y2 Dx 2xy Dy 0 Ex 9 5
