sin 0 - cos 0) dr + r (sin 0 + C

Q: A differential equation with constant coefficients has the characteristic equation (A – 1)" = 0.…

A: We will find out the required general solution.

Q: All parabolas with vertex on the x-axis and containing a point (1, 1).

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Q: 1) X CSC dx +x

A: Given differential equation is x cscyx-ydx+x dy=0. ⇒xcscyx-yxdx+x dy=0⇒cscyx-yx+dydx=0 Which is…

Q: Bernoulli differential equation Solve: x dy/dx= y-y^3 sinx

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Q: Determine whether the differential equation is exact or not exact. The symbols a, b and c are…

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Q: EXaCT DIFFERENTIAL EQUaTion SOL ve THE FOLLOW ING UsinG LON6 ano SHORT METHOD (3x²y-6x)dx…

A: Given differential equation, 3x2y-6xdx+x3+2ydy=0

Q: en differential equation by using an appropriate substitution. The DE is ho + (x + Vxy) dy = 0 %3D

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Q: X+ 9

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Q: 3. (2D3 - D² + 1)(In cos x - 2 tan x)

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Q: .Check if the given general/particular solutions for the corresponding differential equations are…

A: Explained below

Q: dy x² sin x dx cscy

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Q: Solutions of differential equations: y' = sin x O y = - cos x +c O y = cos x + c %3D

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Q: 3. (cosxcosy-cotx)dx-sinxsiny dy= 0

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Q: Solve y' – y sinx = 2 sin a ; 2 sin x ; y (T/2) = 1 -

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Q: det CA -AI)=0 det (-4-11 01=0. -5-d ♡ -4-A

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Q: DIFFERENTIAL EQUATION QIUESTION  ANSWER ONLY h)

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Q: Q-1. Form the second-order differential equation using the parametric definition o y = asin0, x =…

A: Q1: Here, y and x are functions of θ. Using chain rule, we get, dydx=dydθ×dθdx →(1)  We have,…

Q: Topic: Homogeneous Differential Equation Find the particular solution 1. y^2 dx + (x^2+3xy+4y^2)dy…

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Q: Solve the follow ing zy+zy I

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Q: )у'cosx — у* - ysinx %3D 0 ysinx = 0

A: Explanation of the answer is as follows

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: %3D X-2y Cot x

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Q: Topic: Homogeneous Differential Equation Find the general solution: 1. (x^2+y^2) dx = 2xydy

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Q: Solution to differential equation. Use any method dy/dx = sec²x sec³y

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Q: Solution to differential equation. Use any method 7. dx/dt = cosx cos^2 t

A: To find: The solution of differential equation dxdt=cos x·cos2t. Concept used: Separation of…

Q: Solution to differential equation. Use any method 23.(sin y — y sin x)dx + (cosx + x cos y)dy = 0

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Q: dy/dx% 3 sec 2xsec3y

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Q: (a) Find a Differential equation for the family of all circles having radius 1 and centre anywhere…

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Q: 5. y' - y sin x = 2 sin x; %3D

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Q: Differential Equation  Solve (y cos x + 2xey) + (sin x + x2ey − 1) dy/dx = 0

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Q: dr 21. +r sec 0 = cos 0 de

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Q: Obtain the differential equation of the family of curves described and SKETCH some members of the…

A: Given, To find differential equation for circles tangent to y-axis

Q: A differential equation with constant coefficients has the characteristic equation ( – 1)" = 0.…

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Q: Ondinary differential equation 0=(م(ق . 1 : )ع( و + (S’x Using the Eulex's forward numeical scheme,…

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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: A differential equation with constant coefficients has the characteristic equation (A – 1)" = 0.…

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Q: Verify that the function satisfies the differential equation. (A differential equation in x and y is…

A: Given, y=2 sinx+3 Differentiate the given equation with respect to x we get, y'=2 cosx Now again…

Q: dx 5. x + 1²x sin t %3D dt

A: Given ordinary differential equation is: xdxdt+t2x=sin t We have to solve the above equation.

Q: Find the differential equation of the family of parabolas with vertex at (1, 3) and axis parallel to…

A: To Find: The differential equation of the family of parabolas with vertices at (1, 3) and axis…

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

A: We will solve the given differential equation.

Q: stion: 1.5x²y' + 2xy = 2y-3/2

A: We have to solve the given differential equation using bernoulli differential equation.

Q: 4. x(3xy-4y'+6)dx+(x²-6x²y²-1)dy= 0

A: Compare given DE  with M dx + N dy = 0 ∂M∂y=∂N∂x then given DE is exact differential equation the…

Q: +X (3х* - 4x* - 3) сos ydx- 3x' - dy = 0 | 1– sin' y -

A: The solution follows as:

Q: Topic. Homogeneous Differential Equation Find the particular solution 1. y(x^2+y^2) dx +…

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Q: dy Sin 2x dx 2y 2Cos x

A: Some important formulae

Q: Obtain the particular solution of (D2 + 4) y = sin x + sin 2x

A: Using method of linear differential equations with constant coefficients.

Q: 5. y" + y = sec x tan x

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Q: Differential Equation: Verify that cos kx is a solution of d^2x/dt^2 + k^2x = 0. Also, state what…

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