y" + 14y' + 49y = -5 e-7x %3D

Q: (2x + 3y - 1) dx - 4 ( x + 1) dy = 0

A: Explained below

Q: y-3x + (4y+3x)(dy/dx)= 0 Homogeneous equations

A: Given is a homogenous differential equation, therefore solve by substituting y=vx.

Q: Find the particular solution of csc y dx + sec2 x dy = 0; y = π/2 when x = π/2

A: We solve this differential equation by separation of variables.

Q: 3. II Azy'dz dy = 2y°(3² – 1)dy | 2y (y? – 1)dy 1

A: Given that a double integration .We use general  property of integration to solve this integration.…

Q: What is the integrating factor of the equation (2xy*ev + 2xy³ + y)dx + (x²y+ev – x²y² – 3x)dy = 0 A…

A: We have to choose the correct answer from the given option according to the given condition

Q: 10.(x + Jy² + 1)dx – (y-- -(y- |dy = 0. y2+1

A:

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: メyゴ= ザ+×x。+y %3D ind gen eral solution

A:

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

A:

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

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: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: S(y* - y-3)dy

A:

Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

A:

Q: dy=y°-1 ex 2y

A: This is Separable differential equations

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: Equation xdy + ydx = 0 y"-3y" + 3y + y = 0 (y)¹/² = √/(1+y")4 Order Degree Kind IV DV

A:

Q: Evalute! 2. 2)dy dx

A:

Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: (3-y)dx + (y-2=) dy = 0, y(-1) = 2. ry2

A: Given: 3-yx2dx+y-2xxy2dy=0, y(-1)=2

Q: 1- 2r (1 + y')dx - y (1 + 2x)dy =

A:

Q: 2) (-4у + e-3*)dx %3D 4 dy

A:

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

A:

Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

A:

Q: 2x+(4x+y-6)dy/dx=y ODE

A: In this question, we need to solve the given ODE.

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

A:

Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

A:

Q: solve x (dy/dx)=x^2y^3 - y, y(1)=1

A:

Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: Integrate x2 e a) S- 2x -d.x 2 b) S- -

A: By using integration property, we calculate the following Integral.

Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

A:

Q: 5/xy dy -2, х, у» 0 dx y =

A: See the details solution in below

Q: 5-(x^2-y^4)dy/dx=xy

A:

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

A:

Q: 22 32 S[ (4-y ) dydx 1. ans:- 3 0 0

A:

Q: 2-dy dy. y2 dx 12 ナ /2

A: We have to solve the given equation. The given equation is 2-dydX=y2X2+yX+1    ......(1)

Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

A:

Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

A:

Q: 26. x = 2y, y(1) = 5 dy

A:

Q: Vy2 -25 dy S y3

A:

Q: (x-y)dx + (3x+y)dy=0; when x=3, y=-2

A: We need to solve (x-y)dx + (3x+y)dy=0; when x=3, y=-2 The solution is given below.

Q: 1 y2e- dy 7 صواب ihi

A:

Q: Find the particular solution of csc y dx + sec² x dy = 0; y = when x = 2 2

A: Given differential equation is cscy dx+sec2x dy=0. To find the particular solution if y=π2 when…

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

A:

Q: 2 dy 2- 2- y = e*/2y3 dx

A: