Solve the ivp y′=sin^2(x−y)    y(π/2)=π4 Solution is y(x)=

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: Find the differential equation corresponding to y=a cos (logx) +b sin(logx) or y=A sin (logx)…

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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: An integrating factor for the differential dy + my = e-m² is dx equation

A: Given differential equation is dydx + my = e-mx

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

A: Pi/4

Q: s.fx 5. x3 sin 3x dx

A: We have to find the indefinite integral

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Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: Solve the differential equation by using variable separable method: ( cosxcosy – sinxsiny)dy = dx

A: Since we can write  (cos(x)cos(y)-sin(x)sin(y)) = cos(x+y). Now solve equation by rewriting as…

Q: y using an integrating factor, find the general solution of the differential equation dy/dx…

A: Given differential equation :                          dydx-ytanx=sinx

Q: %3D siny(x + siny)dx + 2x²cosydy = 0

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Q: Find the general solution of y'= sin²xcosy.

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Q: solve for exact Differential Equation (ex + ln y + y/x)dx + (x/y +ln x + sin y)dy = 0

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Q: Solve the differential equation by separating the variables.   dydx=sin(x+y)−cos(x+y)

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

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

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Q: = sin(5x) for y(0) = 2

A: the solution is, y = (11 - cos5x)/5  The detailed solution is as follows below:

Q: y +y= secx

A: We have to solve the problem

Q: 5. 2x sinh+ 3y cosh2) dx -- 3x cosh dy = 0

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Q: The integrating factor of the linear differential equation – (tanx)y = x is_ - O sinx O log(cosa)…

A: Given dydx-tanxy=x

Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

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

A: we have to solve the problem

Q: 5. Find where y = In(cosh(2x)) + /sinh-1(2x) + tanh² (7x). dy dx

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Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

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Q: solve

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Q: 2. Jx sinh x2 dx

A: ∫x sinh x2 dx

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: If y = sin2x, the derivative dy/dx is equal to a. cos2x  b. sin2x c, 2cosx  d. 2sinx (SOLVE BY…

A: Solving the equation by the method of differentiation.

Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

A: Conversion of  differential equation into voltera integral equations

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: Find dy/dx by implicit differentiation. 5y sin(x2) = 9x sin(y2)

A: Given :  5y sin (x2) = 9x sin (y2)

Q: 2.) Solve Implicitly 3 (2xy +) dx + (3x³y² + siny) dy =o

A: Here we have to find solution of given differential equation.

Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: by

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Q: Find the orthogonal trajectories of family of curves y = ax5 (SOLVE BY USING DIFFERENTIAL…

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Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

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Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: y' +y Inx = 0

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Q: 2. y"' + 4y' = sin x + 3 cos x

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Q: ry' = 3y + y? ху

A: Solution of a nonlinear differential equation

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Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

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Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) = %3D

A: Given: Given differential equation is y''+y=sin2x We want to solve the differential equation by…

Q: Find the differential equation of the family of circles with fixed radius and tangent to the x axis.

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Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: In( cosh(3x) - sinh(3x) )=

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Q: Calculate the truncation error to solve the differential equation: Yi+1¬Yi = Xị → (*) Ax dy Instead…

A: Follow the following solutions to get the complete correct answer.