9 y y' - -y x2 and find the solution that satisfies y(1) = 1.

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

A:

Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

A:

Q: y" + 9y' + 7y = e-2t ,t > 0[

A: Using method of Laplace Transform.

Q: Solve the partial differential differential by separation of variables 70z + 6 = 0.

A:

Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: Find the differential dy of y=√x. Show complete solution

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Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: 3. Determine a homogeneous linear equation with real, constant coefficients that is satisfied by: y…

A:

Q: ex 2. y" – 4y' + 3y = - 1+ ex

A:

Q: Linear Differential Equation (2y cos x + sin* x)dx = sin x dy when x =5 =7.y = 1

A: The solution for the above question is as shown below

Q: Solve dy/dx = y -x with y(0) =1 using the linear multi-step method Yi+1 +(3/2)yı -3yı-1 +(1/2)yi-2 =…

A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

Q: Find the general solution of differential eqiuation 4 x2y''+y=0 if one of the solution is given by…

A: The differential equation is, . A second order Euler's ordinary differential equation is given by,…

Q: Use separation of variables to find any solution to the partial differential equation uxt-x²e4t

A:

Q: dy/(3x2) = (1 + y²)1.5 dx.

A:

Q: Find the particular solution of the differential equation - ytanx e" secx that satisfies the initial…

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Find all the solutions of partial differential equation 25u ôx? by variable separable %3D method.…

A: All the solution of the partial differentilal equation is(1) u(x,t) =(Ax+B)(Ct+D)    (2)…

Q: 1. (2x + y – 1)dy + (4x + 2y – 3)dx = 0; when x = 1, y = 2

A:

Q: The general solution of the differential equation by direct method: dy sec2 x dx 1+ 2 tanx y =…

A: According to the given information, it is required to find the general solution of the given…

Q: ex 1. y" – 2y' + y = x5 when y(0)=1; y'(0)=2 %3D

A:

Q: Find the general solution of the differential z-y+3 equation y' I-y

A:

Q: obtain in alinear differential eqaution with real, constant coefficients that is satisfied by the…

A: The solution of the problem is given in the next step.

Q: Solve for Linear Differential Equation of Order n: y′′−2y′+y=7e^x+75sin(2x)

A:

Q: 21. Find particular solution of the differential oquation-2(x+ 1) Y.given x 0,

A: Givne that  The differential equation  To find the particular solution of the differential equation

Q: 3. (x² – xy + y²)dx – xy dy = 0

A:

Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: Solve for solution of differential solution. x(dy/dx) - (1+x)y = xy²

A: Bernoulli's differential equation is: y'+P(x)y=Q(x)yn Then, I(x)=e∫(1-n)p(x)dx And the solution of…

Q: 3. The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Here we will use two formula  1st Area of triangle  If two sides of a triangle has length a and b…

Q: Find the particular solution of the differential solution dy/dx=x^2(y+2) given that the point (0,5)…

A: Given,  The differential equation  dydx=x2y+2   Point 0, 5 lies on the graph of the solution  We…

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: (3tanx-2cosy)sec²xdx

A: We will solve the differential equation.

Q: 4.3√√√7

A:

Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

A:

Q: 2ydx + x (x² In y – 1) dy = 0

A:

Q: he indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A:

Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: Given general solution is 3x2+2y2=C.......(1) Differentiating it with respect to y…

Q: Obtain the differential equation of all straight lines with alebraic sum of the intercepts fixed as…

A:

Q: 6. Use separation of variables to find product solution of u(x, y) for the partial differential…

A: Given,            ∂2u∂y2=∂u∂x+xu                        (1)

Q: differential equation

A: Given D.E is  y(x2+y)dx + x(x2-2y)dy = 0 And we have to find its solution when x= 1, y= 2  Given D.E…

Q: Find the differential equations having as solution; all tangent lines of parabola y2 = 4x .

A: Here, we have to find differential equation of all tangent planes of parabola

Q: Find two positive numbers whose product is 64, and whose sum is a minimum. Solution must show the…

A:

Q: 2. Obtain the differential equation having the solution as the equation representing all circles of…

A: The solution is given as

Q: 2. Find the differential equation having the solution as the equation representing all lines with…

A:

Q: 27. Obtain the differential equation having the solution as the equation representing all circles of…

A: The differential equation of all circles of radius 1 and centers on  y=x

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

A:

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

Q: Solve the differential equation by the method of variation of parameters. y"+3y'+2y=1/(1+ex)

A: The differential equation is given by,