The solution for the differential equation (D² + X?)y = 0 with boundary conditions y(0) = 0, y(6) = 1 is None cosAr y = COSA6 sindr sinX6 sin 16 y= sindr

Q: Q1) solve the following differential equation 2- 3- y² (cos x +)dx + (e² + 2yIn(x))dy = 0 (sin³ (x)…

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Q: Cos X- cosy Jax-sinxsiny dy=2

A: A differential equation of the form Mdx+Ndy=0 called exact differential equation if ∂M∂y=∂N∂x and…

Q: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: Find all solutions of the DE y"– 12 y '+36 y=16 te°* (where t is a real constant)

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Q: particular solution

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: 3-(cos x)y' =yCv-1) sin x.

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Q: 3x² sin(2y) + (2x³ cos (2) + - (22:²³ + ²) y' = 0.

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Q: y" + 4y + 5y = 50t, y(0) = 5, y'(0) D a.e-2t (13 cost + 11 sin t) + 10t² - 8 b.e-2t (13 sint + 11…

A: The given IVP

Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: Solve Y" - 6y + 13y = cos(4x)

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Q: Equation y" - 2y + 2y = exsinx (5) (21 2 2 Appropriate Form of the Particular Solution

A: We need to solve Differential equation. As per Bartleby guidelines we can solve one question from…

Q: (cos y + y cos x) dx - (x siny - sinx) dy = 0

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Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: y = Vr² + VT etin e y = r-5 y = (cos z)n. y = /tan 2x – sec3 (4x – 1)

A: as we are just given 4 functions and not any question so I assume we need to find the derivative of…

Q: What is the solution of the equation dey/dx=y/x+tany/x

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Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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Q: Use the method of undetermined coefficients to solve y" – 2y' + y = 5 cos(2x) + 10 sin(2x)

A: Solve the differential equation y"-2y'+y=5cos2x+10sin2x using the undetermined coefficients .

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: (Siny) (dy/dx) – 2Cosy. Cosx + Cosx = 0  find type of differential equation and get the general…

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Q: A particular solution of y" - 3y' – 4y = 2sinx 5 -cosx 17 a. 3 COSX - 17 5 sinx 17 b. 3 -sinx 17 C.…

A: find roots for the homogeneous system

Q: The roots of the indicial equation of the differential equation x²y" + (6 sin x)y' + 6y = 0 at x = 0…

A: Given a differential equation x2y''+6sinxy'+6y=0. To find the roots of the indicial equation of…

Q: Find the solution. (D³ +7D2 + 19D + 13)y =0; when x =0, y=0. y' =2, y"=-12 A y = e-2'sin3x B y =…

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Q: Find the solution. dy sin x x +2y = y(2) = 1 dx , X A y = (4 + sin 2 + cosx²)/x² (B) cy= (3 cos 2x -…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.