4. у' = sec x - y tan x

Q: Can we solve following differential equation by separable variable method dy y = eV+sinx secx %3D dx

A: Given differential equation is as follows : secxdydx=ey+sinx……1 Let Fx,y=dydx If Fx,y can be express…

Q: max value for y

A:

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

A:

Q: Solve for the differential of y when y = sinæx, x=-, and dx=- 3 2 4 4 -iN

A:

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

A:

Q: 5. Solve: (sin y – y sin x)dx + (cos x + x cos y – y)dy = 0

A:

Q: and dr= %3D Solve for the differential of y When y=sinxx x

A:

Q: Find the radius of curvature of y = x^3 at the point (1,1). (SOLVE BY USING DIFFERENTIAL EQUATIONS)

A:

Q: d) sin(x)y' + cos(x)y = tan(x)

A: We have to solve

Q: 2. 3x(xy – 2)dx + (x³ + 2y)dy = 0

A:

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: ta 2nd order differential equation whose general solution is y = cie" cos (4r)+cze¯1# sin (4r).

A: This problem is based on the topic of formation of differential equation by eliminating the…

Q: 5z² – VE 1+ tan(x) Find an dy when y = dr Do NOT simplify. expression for

A:

Q: dN + N = Ntet+2 dt

A:

Q: 2 iii. sech x3 tanh( x3 S- -dx 1 X3

A:

Q: Solve for the differential of y when y= sinzx. x=-, and dx = - 3 2

A:

Q: Solve 3e* tan y dx+(1-e*)sec² y dy = 0.

A: To solve the given differenrial equation.

Q: Linear Differential Equation (2y cos x + sin* x)dx = sin x dy when x =5 =7.y = 1

A: The solution for the above question is as shown below

Q: Solve using method of variation of parameters. 6. y" + 3y' + 2y sin(e*)

A:

Q: dy tan tan x = 0 dx coscos x +

A:

Q: dy/(3x2) = (1 + y²)1.5 dx.

A:

Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

A:

Q: find solution of this differential equation:  y′ tanx sin2y = sin^2 x + cos^2 y

A:

Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: Apply variation of parameters to find a particular solution of y ''' - y' = tan x

A: The given differential equation is y''-y' = tan x.We have to solve this using the variation of…

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) = c₁cos (0)…

A:

Q: 3. (x² – xy + y²)dx – xy dy = 0

A:

Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: Find the solution of a given non-homogeneous differential equation using the variation of…

A:

Q: Use variation of parameters to find the particular solution to y"+y' – 20y = - 3400 sin(3t) Y(t) = |…

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: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

A:

Q: 2. Solve for general solution using exact method. (cos x cosy – cotx) dx – sinx siny dy = 0 %3D

A:

Q: (2x sinh2 + 3y cosh?) dx – 3x cosh dy = 0 |

A: Concept Used: For  y'=f(x, y)   ...(*)If f(hx, hy)=hn f(x, y)Then (*) is homogenous equation of…

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

A:

Q: Solve the differential equation by variation of parameters. y" + y = sec(8) tan(0) y(8) =

A:

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: Solve differential equation (2y cos y - x sec y - x tany)dy = (1 + sin y) dx

A:

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: Solve the differential equation by variation of parameters. y" + y = sec (0) tan(0) y(0) =

A:

Q: 2. Solve (sin y – 3x² + 5)dx + (y +x cos y)dy = 0. (Test for exactness and solve)

A:

Q: Determine the general solution of y" + y = tanx using variation of parameters

A:

Q: Use variation of parameters method to solve b. y" + y = tan x

A:

Q: aur + 2xyury + y*uyy = 0

A:

Q: A/ By using Linear equation solve the first order differential uation y' + sec(x)y= cos(x)

A:

Q: 1) S 2 sec y (tany – sec y) dy

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