Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

A:

Q: dy x +1 xy %3D dx

A:

Q: Solve dy dx =-y with y(0) = 1. Find y(0-01), y(0-02) by Runge-Kutta method.

A:

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

Q: Obtain the particular solution of the DE: 4(3x + y – 2) dx – (3x + y) dy = 0; when x = 1, y = 0…

A: Gg

Q: SSo+ + y+z) dz dy dx 0.

A: Triple integration is used to find the volume.  Use power rule of integration

Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 9x2 − 5 dy =

A:

Q: Obtain the particular solution satisfying the initial condition indicated. (variable separable) dx…

A: Use the variable separable method and satisfy the initial condition. Also use the properties of…

Q: Solve the homogeneous DE 3xy dx + (x^2 + y^2) dy = 0.

A: We will take the substitution y=vx, to convert it into separable variable form.

Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential…

A: Topic = Derivative

Q: Let y 5x? + 5x + 2. || Find the differential dy when x = 5 and dx = 0.3 Find the differential dy…

A: GIVEN: y = 5x2 + 5x + 2

Q: Apply the application for integration dy/dx=2x+3 y(1)=2

A: Given: dydx=2x+3, y(1)=2

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 6x2 − 3 dy =

A: y = 6x2 − 3

Q: Reducible to Exact (2xy ln y)dx+(x2+y2√y2+1)dy=0

A: We have: M = (2xy ln y)dx ∂M/∂y = 2x(1 + ln y) N = (x2+y2√y2+1)dy ∂N/∂x = 2x

Q: Apply classical fourth-order Runge-Kutta method to solve dy dx f(x,y) == 4e®** –0.3y , using h=0.5…

A:

Q: Use the Euler method with dx = 1/3 to estimate y(2) if y' = y - e2xand y(0) =1.  What is the exact…

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 2x2 − 1 dy =

A:

Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

A:

Q: Use the differential dy to approximate Ay when x changes from x = -3 tox = -2.99. y = x2 + 1 Enter…

A:

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

A:

Q: Find the solution asked using the process of Homogeneous. (16x + 5y)dx + (3x + y)dy = 0; the curve…

A:

Q: dy -X+Y

A: The solution to a linear differential equation of the form dydx+Py=Q, where P and Q are functions of…

Q: Find the differential dy. 1- 5x y = 4 dy = dx

A: Given that y = (1 - 5x)/4 Find derivative of this y. Here i attached solution of this question.

Q: Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

A:

Q: Sin²y dy V1 -x, given that y(-3) = 0. dx 2) Snow that the general solution for (x2 +x-6)dy = 4y dx…

A: Given that  The following differential equations

Q: Find the differential dy. (a) y = xV10 - x dy = -2 (b) y = (1+x) ? dy =

A:

Q: Find the change in y, Ay when x = 3 and Ax = 0.3 Find the differential dy when x = 3 and dx 0.3 %3D

A:

Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

A:

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 6x2/3   dy=

A: Given :                   y = 6  x23   To find :              The differential of the given function…

Q: What is the integrating factor of y (x² + y) dx + x (x2 - 2y) dy = 0? -1

A: We will find out the required integrating factor.

Q: dy For = 2x +y and y(0) = 2, use Euler's method with h=0.1 to approximate y(0.5). dx Approximating…

A:

Q: Find the differential dy when x = 2 and dx = 0.1 Find the differential dy when x = 2 and dæ = 0.2

A: ddxtanx =sec2x ddxxn=nxn-1

Q: Find the generat Solution t dy (2y + xy) dx or Special o the differential * +1=

A: We have to find the general solution to the differential equation 2y+xydydx=1+4x+4x2

Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

Q: Find the general solution of: dx+(1+x^2)cotydy=0

A:

Q: Test for exactness and determine the particular solution of: (yexy – 2y³)dx+ (xexy – 6xy2 – 2y)dy =…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 2(y-4x2) dx + x dy

A:

Q: xy' + y = sin(x), y(3) = 0, y'(3) = 0. Yh = C1x + c2x ln(x).

A:

Q: Q2. Solve y [xcos (e)- + ysin (:)] dx – x [ysin 2) – xcos (2)] dy =

A:

Q: Find the general solution analytically: (dy/dx) = 4 - y

A: Given data: The given differential equation is (dy/dx)=4-y. The given differential equation can be…

Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

A:

Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: Find the solution of the differential equatlor dy 3xeY, y(0) = 0 dx %3D

A: Consider the equation

Q: Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

A:

Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: "ind general solution for dy dy + 3 + 2y = -20 sin 2t, y (0) = 2, y' (0) = 1. dt2 dt

A: Ode

Q: Obtain the particular solution when x = 1 and y = 1 y(x^3-y^-5)dx-x(x^3+y^5)dy=0

A: Here is the solution of the given differential equation.