dy sin(a) What is the general solution to the differential equation dr sin A y-sec(a) - tan(x) +*+c ® y=sec(x) - tan(x)-x+c y=tan(x) - sec(x) + x + c y=an(a) - sece(1) -x+C

Q: Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

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Q: y°dx +(3.xy+ y -1)dy = 0 3xy + y² –1)dy = 0

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Q: Exact Differential Equation: 1. Solve (y + 2xy?) dx + (2x + 3x?) dy = 0. 2. Solve 3 (x2 + y²) dx + x…

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Q: (41) dx + x dy = 0; in y; in x The differential equation is ---Select---in y and ---Select--- in x…

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Q: 4. Taking Advantage of Homogeneity to Solve Differential Equations (a) Show that the equation dy/dx…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: 1) y" + y' - 2y = e^x + 4 sinx + x^2 - x the general solution of the differential equation find it.

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Q: Consider the differential equation y' = x -y , x>0 a) Find a general solution to the differential…

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Q: (D3 – D2 + D – 1)y 4 sin x

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Q: Differential equation x² 2xln(y)dx + dy = 0 y

A: If the equation Mdx +Ndy =0 is exact i.e, ∂M∂y=∂N∂x , then the solution is      ∫y constant M dx…

Q: 1. The differential equation of the family of straight lines whose sum of slope and x-intercept is…

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Q: The differential equation of the family of straight lines whose sum of slope and x-intercept is…

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Q: y' +y = y -2

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Q: a. Try to find a differential equation for the family of lines tangent to the parabola y = x2. b.…

A: Let, y = mx + b represent a tangent to the parabola y = x2.Where, m = dydx = slope of tangent.y = mx…

Q: Exact Differential Equations (2xy + 1)dx + (x² + 4y)dy = 0 (18) (6xy + 2y? – 5)dx + (3x2 + 4xy –…

A: First I have written the definition of exact differential equation and it's solution rule, just use…

Q: 4. (x + 1)dy + 2(y+1)dx = 2(x + 1),/y+ 1dx When:x = 2; y = 3

A: The given problem is to solve the given ordinary differential equation with given initial condition.

Q: Homogenous Differential Equation: 1. Show that the solution of the differential dy equation: a? –…

A: Explanation of the answer is as follows

Q: Differential Equation: Solve initial value problem dy/dx = y cos x /1+2y2 , y(0) = 1

A: Differential Equation:  Solve initial value problem

Q: - sin 2r arctan(sin 1) (sin* y + cos' y) Solve the differential equation. sin y cos y

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Q: A tank contains 100 gallons of a saline solution. A saline solution containing 3g of salt per gallon…

A: To write a differential equation for the amount A of salt in the tank at time t

Q: Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

A: We can solve as follows

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0

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Q: Test for the exactness of the differential equation y(2xy2 - 3)dx + (3x2y2 - 3x + 4xy)dy = 0 and…

A: Differential equation is an equation which represents the relation between variables and their…

Q: sin x) sin(x) +1 dy What is the general solution to the differential equation dr A y= sec(x) tan(x)…

A: Given : Differential equation dydx= sinxsinx + 1   To find : General solution for the given…

Q: Exact Differential Equation: 2. Solve 3 (x2 + y²) dx + x (x² + 3y² + 6y) dy = 0

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Q: Differential equation by substitution: xy dx +[x^(2)-3y] dy = 0

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Q: (4x* – r*y+ y*)dx + x*dy = 0.

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Q: 1) Find the general solution to the differential equation. (6 + x)y' = (x + 7)(y − 6) y =

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Q: (x² + y2) dx + xy dy = 0.

A: Given, x2+y2dx+xy dy=0

Q: Solve for the differential equation (1+x²) dy+[(1-x)²-xe^-x] dx=0; when x=0, y=-2

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Q: general equation cosy siny where k is a dx positive constant is: A. Y= sin'x 12. Given that y = 1…

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Q: dy dx xy + xe*²

A: Given, The linear differential equation dydx=xy+xex2  We have to solve it.

Q: (2xCosy+3x'y)dx+(x*-x*Siny-y)dy=0 Solve the differential equation

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Q: general solution of the differential equation (x+3y-5)dx + (x+3y+10)dy=0

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Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor…

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Q: Exact or Non-Exact Differential Equation ydx+(3+3x-y)dy=0

A: A differential equation of the form Mdx+Ndy=0 is said to be exact differential equation if:…

Q: Q-2. Form the first-order differential equation of e =sinx Q-3. If f'(x) f(x) and f(1) =1 then find…

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Q: 1. The differential equation of the family of straight lines whose sum of slope and x-intercept is…

A: For X-intercept we put y=0 in y= mx+c then solve it.

Q: Linear Differential Equation: dy 1. Solve dx = 1+ 3y tan . 2. Solve ydx – (eY + 2xy – 2x) dy = 0. -

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Q: TT 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: . Exact Differential Equation: x(3xy – 4y' +6\dx+(x* – 6x²y -1dy=0

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Q: Stion 5 Solve the differential equation: y'+y cot x = csc x y = csc x ( In csc x - tan x +C) y = sec…

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Q: %3D Solve the differential equation x(1- siny) cos x- cos y-y. dx

A: We will solve the given differential equation.

Q: The order of the differential equation whose general solution is given by y(x)=e^2x[c1+c2 cos3x+ c3…

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Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: sin(x) sin(x) – 1 dy What is the general solution to the differential equation dx A y=tan(x)+: (x) +…

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Q: . The linear differential equation dx 2 has the integrating factor equal to_ (Note: Simplify or…

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Q: xy''' - y'' = 0  y(0)=1   y'(0)=0   y''(1)=0  Find the particular solution of the given…

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Q: A second-order differential equation and its general solution y(x) are given. Determine the…

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Q: II. Test whether the differential equation is under Exact DE. If the equation is exact proceed with…

A: An exact differential equation M.dx + N.dy = 0 is said to be an exact differential equation if it…