the bend moment M of a beam is given by dm/dx=w(1x) where w and l are constantsdetermine M in terms of x given that M=wl^2/2 plz show me working step Algebra Josephine solved a quadratic equation (x6)^2=49( x2 y2 ) dx 2xy dy = 0 ⇒dydx = y2 x22xy (1)It is a homogeneous differential equationLet y = vx (2) ∴dydx = v xdvdx (3) Substituting (2) and (3) in (1), we get v xdvdx = v2 x2 x22x vxv xdvdx = x2 (v2 1 )2vx2 = v2 12v2v2 2vx dvdx = v2 1 2vx dvdx = v2 12vv2 1 dv = dxx Integrating both sides, we get ∫2vv2 1 dv = ∫1x dxlog v2 1 = log x log Clog v2 1 =Expert Answer (According to Chegg policy only four subquestions will be answered Please post the remaining in another question) 2 dy/dx = x2y3/ (1x3) => dy (1/y3) = x2/ (1x3) dx Integrating both sides, view the full answer Previous question Next question
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(x^2-y^2)dx 2xydy=0 given that y=1 when x=1
(x^2-y^2)dx 2xydy=0 given that y=1 when x=1-Of the highest ordered derivative that appears in the given equation The degree of a differential equation is the degree of the highest ordered derivative treated as a variable I Examples (a) @2u @x2 @2u @y2 = 0 is of order 2 and degree 1 (b) (x2 y2)dx 2xydy = 0 is of order 1 and degree 1 (c) d3x dy3 2 x dx dy 4xy = 0 is of order 3 andAnswer to Solve the Ivp with y(1) = 8 and equation (x^2 y^2)dx 2xydy = 0 By signing up, you'll get thousands of stepbystep solutions to
If Dy Dx X Y X Y And Y 1 1 Then Y 2 Equals
Answer to Solve the differential equation (1x^2)y' 2xy=0 Find solutions for your homework or get textbooks Search I'm at the beggining of a differential equations course, and I'm stuck solving this equation $$(x^2y^2)dx2xy\ dy=0$$ I'm asked to solve it using 2 different methods I proved I can find integrating factors of type $\mu_1(x)$ and $\mu_2(y/x)$If I'm not wrong, these two integrating factors are $$\mu_1(x)=x^{2} \ \ , \ \ \mu_2(y/x)=\left(1\frac{y^2}{x^2}\right)^{2}$$ The differential equations find the particular solution satisfying the given condition x^2dy (xy y^2) dx = 0;
Ex 95, 4 show that the given differential equation is homogeneous and solve each of them ( ^2 ^2 ) 2 =0 Step 1 Find / ( ^2 ^2 ) 2 =0 2xy dy = ( ^2 ^2 ) dx 2xy dy = ( ^2 ^2 ) dx / = ( ^2 ^2)/2 Step 2 Putting F (x, y) = / and finding F ( x, y) F (x, y) = ( ^2 ^2)/2 F ( x, y) = ( ( )^2 ( )^2)/ (2 )= ( ^2 ^2 ^2 ^2)/ ( ^22 )= ( ^2 ( ^2 ^2))/ ( ^22 ) = ( ^2 ^2)/2 = F (x, y) F ( x, y) = F (x, y) = F (x, y) Q The curve satisfying the differential equation , (x 2y 2) dx 2xy dy = 0 and passing through the point (1,1) is (a) an ellipse (b) a hyperbola (c)Free exact differential equations calculator solve exact differential equations stepbystep
(x 2 y 2) dx 2xydy = 0 It is a homogeneous differential equation Let y = vx(2) Substituting (2) and (3) in (1), we get Integrating both sides, we get It is given that when x = 1, y = 1 (1) 2 (1) 2 = C(1) C = 2 Thus, the required solution is y 2 x 2 = 2x OR It is a homogeneous differential equation Let y = vx(2)Uploaded By SicilianPenguin Pages 22 This preview shows page 16 out of 22 pages Solve the differential equation x(y1) dx(x1)dy=0 If y=2 when x=1 Latest Problem Solving in Differential Equations More Questions in Differential Equations Online Questions and Answers in Differential Equations
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Solved Solve The Following Ordinary Differential Equation X2 Y2 Dx 2xy Dy 0 Find A Vector That Is Orthogonal To The Plane Containing The Points Course Hero
The equation is a homogeneous equation Let y= vx, Differentiat ing wrt x, we get, `dy/dx=vx (dv)/dx` `dy/dx= (x^2y^2)/ (2xy) " from " (i)` `vx (dv)/dx= (x^2 (vx)^2)/ (2x (vx))` `vx (dv)/dx= (1v^2)/ (2v)` `x (dv)/dx= (1v^2)/ (2v)v` `x (dv)/dx= (1v^22v^2)/ (2v)`Solve the following differential equation (x2−y2)dx2xydy=0 given that \ ( y = 1 \) when \ ( x = 1 \) awsanket1176 is waiting for your help Add your answer and earn pointsSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
15 2xy Y 2 Dx 2xy X 2 2x 2y 2 2xy 3 Dy 0 Homeworklib
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Divide by x* (1y) and multiply by dx to get dy/ (1y)=dx/x and integrate both sides to get log (1y)=log (x)k1 then exponentiate to get 1y=k2*x so y=k2*x1 From this, dy/dx=k2 so x*dy/dx=x*k2=k2*x=1y=1k2*x1=k2*x which verifies the solution y=k2*x1 6 views1/2 (a) Find all equilibrium solutions (Your answer may depend on a) (b) Classify the equilibrium points using the linearization methodClick here👆to get an answer to your question ️ Solve the differential equation (x^2 y^2) dx 2xydy = 0
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If Dy Dx X Y X Y And Y 1 1 Then Y 2 Equals
SolutionShow Solution Given ( x2 − yx2 ) dy ( y2 x2y2 ) dx = 0 Dividing both the sides by \ dx\, we get \ \left ( x^2 y x^2 \right)\frac {dy} {dx} \left ( y^2 x^2 y^2 \right) = 0\ \ \Rightarrow x^2 \left ( 1 y \right)\frac {dy} {dx We can rearrange this Differential Equation as follows dy dx = − x2 y2 x2 − xy = − ( 1 x2)(x2 y2) ( 1 x2)(x2 −xy) = − 1 ( y x)2 1 − y x So Let us try a substitution, Let v = y x ⇒ y = vx Then dy dx = v x dv dx And substituting into the above DE, to eliminate y Solve (y√(x^2y^2))dxxdy=0 Latest Problem Solving in Differential Equations More Questions in Differential Equations Online Questions and Answers in Differential Equations
Solving Differential Equation 2xy Dy Dx Y 2 X 2 0 Youtube
Show That The Given Differential Equation Is Homogeneous X 2 Y 2 Dx 2xy Dy 0 Sarthaks Econnect Largest Online Education Community
Consider the family of nonlinear systems with parameter a given by dx/dt= x ay dy/dt= 4x2ay Suppose throughout that a >Calculus Find dy/dx y^2=1/ (1x^2) y2 = 1 1 − x2 y 2 = 1 1 x 2 Differentiate both sides of the equation d dx (y2) = d dx ( 1 1−x2) d d x ( y 2) = d d x ( 1 1 x 2) Differentiate the left side of the equation Tap for more steps Free Online Scientific Notation Calculator Solve advanced problems in Physics, Mathematics and Engineering Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation History
Solve Dy Dx X 2 3y 2 2xy Youtube
2xy Dy Dx X 2 3y 2 Youtube
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