xZx + yZy – 4Z = 0

Q: () dix + (") dy = 0 (x3 x³+y3• (**) dy = 0

A:

Q: 2.xydx + (x2 +3y²)dy =0

A: You have posted multiple questions. We are solving only the first one. If you need an answer to…

Q: 5.Find f, L L*(x² + y² )dydxdz

A:

Q: xydx + (y/x² + y² – x²)dy = 0

A:

Q: 1) dt2 +k²x = 0 2) ax² 3) (x² + y²)dx + 2xydy = 0

A: "Since we are entitled to answer up to 3 sub-parts, we will answer the first three  as you have not…

Q: +x = 4cos2y dy

A: P⇒dxdy+x=4 cos 2ygiven D.E is in the form of dxdy+P(y)x=Qywhere P(y)=1  and Q(y)=4 cos 2ythus…

Q: xy3dx+(y+1)e-xdy=0

A:

Q: (16x y² exy + y sec² (xy) - 2x + 3y) + (16x² y e4xy + x sec² (xy) + 3x)y' = 5

A: Let us consider the equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution of the…

Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: 10. (x2+y)+(x+ey)dydx=0

A: We have given the equation;

Q: (4x'y² -2xy)dx + (3x'y' -x*)dy = o

A:

Q: 3. [y*(x + 1) + yldx + [2xy + 1]dy = 0

A: To solve the given differential equation, first we convert it into an exact differential equation…

Q: _x- y-1dx+(4y +x-1)dy = 0; y(2)=1

A:

Q: xdx + (y − 2x)dy = 0

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: (x² + y²)dx – xydy = 0 -

A:

Q: 4. y(4x + y)dc - 2(x2-y)dy = 0

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 15. xydx + 2(x² + 2y²)dy = 0

A:

Q: Find dy x 3 In (x - y) = xy + y²

A:

Q: . 2yda + (x – x³y³) dy = 0

A: here we have to check whether the differential equation is exact or non exact.

Q: 2ydx + x(x² In y-1)dy=0

A:

Q: 6. xydx + 2(x² + 2y²)dy = 0 ; where x = 0, y =1

A:

Q: ery2z Given yz - /x²y+y2z + 10 = 0. Find dz ax

A: Solution

Q: x²ydx + (x2 + y²)dy = 0 %3D

A:

Q: 2X+1 1) y-vX: zx+\ X { X-4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: EX. Evaluate the JJ(X*+2xy+y") dydx when step size of x = 0-2 and step Size of y=o.5?

A: Given: ∫01∫02x2+2xy+y2dydx with a step size of x=0.2 and y=0.5.

Q: xdx – Va² – x² dy = 0

A:

Q: 2. ydx + (3x – xy + 2)dy = 0

A:

Q: find d^2y/dx^2 for y^2 + 2y=2x+1

A: Consider the function,

Q: ze² dz (1+ x)* + C 1+ z

A:

Q: xydx + (x² – 3y)dy = 0

A:

Q: (1+x3)dy−x2ydx=0; y(1)=2

A:

Q: 2xydx+(x^2)dy=0

A:

Q: .1 S S, x(x² + y²)²/3dydx

A:

Q: 3 2x y°e*dydx

A: To Evaluate the integral given below:-I=∫02∫04[y3e2x]dy dx-(i)Computing the definite…

Q: Find the particular solution of (x+ y)dx +(x – y)dy = 0; when x = 1 y = 1.

A:

Q: Find formulas for dy and Ay if y = 8x – 4. | dy Ay =

A:

Q: 2x2 x² - 4x +4 ey JTeży + 4)°/½ dy

A:

Q: ylany +1) dn -xdy = 0

A: y(2xy+1)x=dydxdydx=2y2+yxdydx-yx=2y2this eq is of the form of  bernoulli D.E dydx+P(x) y= Q(x)…

Q: Find dy for y= dy= 2 4x + 8 X

A: Given.

Q: 2 x2 y/x dydX e

A: To evaluate the given double integral.

Q: 3xydx + (x² + y²)dy = 0.

A: We will find out the required solution.

Q: d^2x/dt^2+4dx/dt+4x=7    ;[x(0)=x'(0)=0]

A:

Q: exy2z 1. Given yz x²y + y²z+10=0. Find 2.

A:

Q: = 0 for F = yz²î +xyj + yzk

A:

Q: 3X axdx 5x 1 タ-4y° dy. 3+2Y

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.