Which is the of the equation y = e 2x+3? dy dx 2 В. х+ 3 С. 2х + 3 O X + 3 O 2X + 3 2e 2x+3 Option 4

Q: Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is…

A:

Q: Find the integrating factors.

A: See the details solution in below

Q: SIder ne DE dy dy 6y = 12x, y(0) = 1 dx dx? Ae2 1 is a solution of the DE and determine Verify that…

A:

Q: dy Solve for the value of C in the equation: (1-2x)dx when y(0) - 1 3y3 3

A:

Q: Find the complete solution to the following diff. equation y ( x2 + y2 -1 ) dx + x (x2 + y2 +1 ) dy…

A:

Q: Obtain the general solution to the equation. dy (x² + 25) + xy = 2x, y(0) = 3 dx The general…

A:

Q: Find the general solution for the equation dy/dx=(2x/y)e^y+2x

A: Given the differential equation, dydx=2xyey+2x    ⋯⋯(1) Rewriting equation (1),…

Q: i s'ex eo e V². (-^x) dy dz -jz 00

A: Solution : a∧x.a∧x=1 ∫01∫01a∧x∈0e-jz.(-a∧x)dydz =-∈0∫01∫01e-jzdydz =-∈0∫01e-jzdz =-j∈0e-j-1

Q: Solve for the value of C in the equation (2x^4e^y + 2xy^3+y)dx+ (x^2y^4e^y-x^2y^2-3x)dy=0 when…

A: given 2x44ey'+2xy3+ydx+x2y4ey-x2y2-3xdy=0

Q: For which value of a the equation dz dy dx =2 does hold? O a. 2 O b.3 O C. 4 O d. 1

A:

Q: Determine for which values of m the function ø (x) = e" is a solution to the given equation. d²y dy…

A:

Q: dy Which is the of the equation y = e 2x+3? dx 2 В. х+ 3 С. 2х + 3 X + 3 2X + 3

A: given  y=e2x+3 find dydx

Q: Find the general solution of the given Attached equation

A:

Q: dy Which is the of the equation y = e 2x +3? dx 2 В. х+ 3 С. 2х + 3 O x + 3 2X + 3 2e 2x+3 Option 4

A:

Q: Which of the following is the general solution of the difeerential equation d²y 640Y - 16 +y=0? dx…

A:

Q: Find the equation of the solution to dy/dx=x4y through the point (x,y)=(1,5).

A:

Q: Rewrite the equation with the variables separated. 2y' = 3x+y dy 2.3 ○ 3ºdy = 2/1dx O dy 3.9 = 3x dx…

A: Topic = Differential equation

Q: Find the value of dy/dx when x= 10.74 and y=2.74 for the given equation. y4-y2-2x3-9x =8

A:

Q: B Solve the following D.E y(6y² – x-1)dx+ 2.xdy = 0, y(6) =1.

A: Given: y(6y2-x-1)dx+2xdy=0, y(6)=1 The given differential equation is a bernoullie differential…

Q: Find the general solution of the followin d² y equation 5 + 4y = 8 +5. dx2 dx

A: General solution is sum of particular integral and complimentary function.

Q: what is the general equation to the equation d°ycK) dy 2. dx² dx

A:

Q: E Classify and Solve dy + (1 – 2x)y = 4x ,x >0 dx

A:

Q: Solve the equation x dy + y dx = 2x^2y dx. Select one: O a. In |x+y| = X^2 + c O b. In |xy| = x^2 +…

A:

Q: dy . dx Suppose x and y are variables that satisfy the equation x – y? = 12. What is

A:

Q: d² y If ax? dx? 3. Find + 2 hxy + by = 1, h? - ab Ans. (hx + by)

A: So in this we have to differentiate twice. I'm providing hand written solution.

Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

A:

Q: The sales of shirts and ties at a store are related by the equation 0.6x³ + 3xy + 8.3y³ = 78659.1,…

A:

Q: Given that y = (a + bx)e¯* where a and b are constants, show that d²y + 2 + y = 0 dx2 dx

A: Given equation is  y=(a+bx)e^-x

Q: e.Find the solution of equation (29) by replacing v by y/x  dy/dx =( y − 4 x)/( x − y) .

A: Given differential equation is dydx=y-4xx-y Given equation is homogeneous differential equation.…

Q: Find the value of dy/dx when x= 13.49 and y=3.2 for the given equation. y+3y-3x-5=0

A: We have to find the value of dydx when x=13.49 and y=3.2 for the equation…

Q: d²y dy +4 dx² + 4y = 0, when x = 0, y = 1, y' = -1 dx

A:

Q: dx – x' csc 2 ydy - dy tan 2 y

A: Given that:

Q: The solution of dy dx 2xy = x2 + 3y? when y(1) = 3 23 + 10y3 = a? a3 + y = 10x2 Option 1 Option 2 23…

A:

Q: dy 2y+3\2 dx 4x+5. ||

A:

Q: dy e. Solve the equation dx --y=-y° (x² +x+1); y(1)=2.

A:

Q: For which value of a the equation dz dy dx =1 -1 0. does hold? D a. V3 O C. V2 O d. V3

A:

Q: d?y + 4.+5y x + 2 solve dx? dx

A:

Q: x^3+y^3=7​, find the value of d^2y/dx^2 at the point (−1,-2)

A:

Q: Solve the egjuation ditferential (2x-3y+5)dx+(3x-2y+2)dy=0

A: Given the differential equation is                     (2x -3y +5)dx + (3x -2y +2)dy = 0

Q: the

A:

Q: or which value of a the equation dz dy dx -1 oes hold? D a. 2 O b.1

A: We are asked to find the value of a.

Q: Rewrite the following equation with the variables separated. y' (y²+3)(e² ) dy et dx %3| ( y²+3) dy…

A: Explanation: Given that: y'y2+3ex=2 Concept: 1. y'  represents dydx

Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: If x^(1/3) + y^(1/3) = 4, find d2y/dx2 at the point (8, 8).

A: Applying derivative for the given equation with respect to x:

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: Solve the following equations: a) d²y dy dx² - 3 = 9, when x = 0, y = 0, dx dy 3 b) 2 d²y - dx² dx -…

A: Use the given differential equations.

Q: Solve the diffrential equation.(pls step bu step and clearly) (d/dx+2x)(dy/dx+2xy)=2e^(-x^2)

A: We have given differential equation is…

Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

A:

Q: For which value of a the equation dz dy dx =1 -1 does hold? a. V3 O b.V3 Oc. V2 O d.2

A: