(2rz - yz)dr + (2yz – zr)dy – (² – xy + y²)dz = 0.

Q: 2. (6x – 3y + 2)da – (2x – y – 1)dy = 0 (coefficients linear in two variables) %3D

A:

Q: 5 (x² + y² )dx dy -5 J –1

A:

Q: H2. 2dy dy dr2 d²y dy :1 at x = 0. dx – 52+2y= 2x², y=7 and - dx

A:

Q: dy Зу +4 Find the general solution: %3D dx 2y + 3

A: Topic - differential Equationd By separating Variables method

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

A:

Q: (교2 + y2 - 5)dz = (y + zy)dy,

A:

Q: Q) Find y" + 3y 5y at x-5 where y = xsin(1/cscx))

A: NOTE- AS THE SECOND QUESTION PICTURE IS NOT CLEAR SO I AHVE DONE ONLY FIRST QUESTION. IF YOU WANT…

Q: d3y/dx3 -dy/dx=5sinx+10cosx+120e3x Diferansiyel denklemini çözünüz

A: Find complementary function and particular solution for the given differential equation

Q: Q4) Find y" + 3y' 5y at x=5 where y = xsin(1/cscx))

A: Solution:-

Q: 4. (D² – 10D + 34)y = -cos3x

A: Using method of Linear Differential Equations with constant coefficients.

Q: z=9x + 4y + 1 dy = (9x+4y+ 1) 2 reduces to dx Using the substitution the DE -- dz=9dx+ 4dy

A:

Q: -2dх 38. y-2dx dy er e2x + 1' УО) %3D 1

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: 4 J4- y ktx dy S[S( x, y) dA = [] 3 R 0 2- 2 2

A: Consider the given expression, ∬Rfx,ydA=∫04∫2-y24-yx2-x33dxdy This suggests that the region spans…

Q: dy=y°-1 ex 2y

A: This is Separable differential equations

Q: w = In(x²+y² +z²) x = cost y = sint z = 4E

A: w=lnx2+y2+z2, where x=cost, y=sint, and z=4t. Find dwdt.

Q: 2ydx + x(x² In y-1)dy=0

A:

Q: Solve Hhe dipperential Eguentione. 3(x+zy-4) dy + Gx-3y +2) dx= 0

A: Wea will convert the equation into homogeneous differential equation by substituting and then solve…

Q: [2x*yžcosx² – 2x*yå + x/5]dx + [x/5stnx² - x° /9]dy = 0 3 2x²yz + x [x/ysinx? – x³ /y]dy = 0 -

A:

Q: dy Find a solution of x dx y2 - y that passes through the indicated points. (a) (0, 1) y = | 0

A:

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

A: Solution

Q: y(x - 6y)dx - x(2x - 9y)dy = 0; when x=1, y=1 a. y?(2y-3x) = 3x2 O b. y?(2y+3x) = x² c. y2(3y-x) =…

A:

Q: y(x²+xy-2y²)dx + x(3y²-xy-x³)dy = 0;when x = 1, y = 1 %3D

A:

Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given that, 17)  5xe9y=12; 1,018) x2+3y2=13; 1,2 Find the derivative. Here we use the…

Q: dy %3D -9y = 0 with the conditions that x = 0 and dx

A:

Q: - 2y 4 given that y = 3 and 4 when x = 0. Solve dx2 %3D %3D dx

A:

Q: %3D y"(t) = 4y(t) – e-tU (t – 1), y(0) = y'(0) = 0.

A: Solution

Q: -+y? сos(2t) %3D 0 ; y(0) = 1 dt

A: Given dydt+y2cos2t=0   y0=1

Q: С) хdy-у vdx-x²y°dy=0

A:

Q: (xy2 +2xy -8y² – 16y)dx + (x2 - x - 6)dy = 0; when x = 1, y = 1 %3D %3D a.

A: Given differential equation is   (xy2+2xy-8y2-16y)dx+(x2-x-6)dy=0 ; when x=1 ,y=1

Q: (1 – xy)-²dx + [y² + x²(1 – xy)¯²]dy = 0; when x = 2, y = 1

A:

Q: d²y 35. Find dx2 of x² + y2 = 1 implicitly. %3D

A:

Q: 1. y(4x+ y)dx- 2(x² – y kdy = 0 | 2. 2xydx + (y -x² kdy = 0; when x = 2 and y = 1

A:

Q: 12. Find dy for y = sec (3x). %3D

A:

Q: The standard form of 3dy- xydx= 3y e* 4x/3 by Bernoulli's equation is: dx = 3e /3,3 ху A dy B y…

A:

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

A:

Q: Q4) Find y" + 3y' 5y at x-5 where y = xsin(1/cscx))

A:

Q: b. (xy - y)dx + (x² – 2x + 3y)dy = 0; when x = 1, y = 1

A:

Q: 3. (y – 2)dx – (r - y – 1)dy = 0 (coefficients linear in two variables) %3D

A:

Q: Find the differential dy. x + 2 y = 9x - 1 dy =

A: In this question we have to find we have differentiation of y.

Q: y" – 10y' + 34y = 3x2 + x – 1 || | (D² – 10D + 34)y = -cos3x

A: 1-D-1 = 1+D+D2+D3+.... Note : As per our Guidelines, we are supposed to answer first question.

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload…

Q: Find the I.F of y(2x-y+1)dx+x(3x-4y+3)dy=0.

A: Given equation is y2x-y+1dx+x(3x-4y+3)dy=0

Q: dy Find -5 y%3D(2+cos4t) dy dt

A:

Q: dy * - x Iny; yc1)= |

A:

Q: 2x[3x +y- y exp(-x²)]dx + [x² + 3y² + exp(-x²)]dy = 0 IC:X = 0, y = 1

A:

Q: - +5. dx + 6y = 12(x+e") 1 dy given that y =- and = 3 when x

A:

Q: Find the solution y = y(x) of y2 dy + y - dx = 0, x3/2 subject to y(1) = 1.

A: