b) Solve the following differential equatión . = 1 + Sin x + 4x dy +2y dx dx

Q: Solve the equation (x+2) Siny dx + X cosydy=1 собуду=0

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Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: Find the general solution of the equation: y' -2y = 2 sin(3t).

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Q: dx - x = (-²/cost) x³ dt 2t 2

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Q: Given the differential equation: D°(sin x- cos x+ 3e* +x²) What is the final derivative in the given…

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Q: Use an appropriate substitution to solve the differential equation (y - xeos² (2)) d. dx - x dy = 0.

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Q: Solve the DE (D-1)y= 3 sinx+ 22 - 2x°2

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Q: 3. Solve the following Second Order Differential Equation y" + y = 4x + sin x .

A: Here in this question we need to solve the given second order differential equation. We will first…

Q: d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  What is the complementary function of this differential…

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Q: Solve: y (cosx)= (9+ y²)

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Q: Solve the exact differential equation ( - 2 sin(x) – y sin(x) + 4 cos(x))dx + (cos(x))dy = 0 where…

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Q: d’y (b) dx + y =: dx 1+x

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Q: dy <ニ0i4 cin メ+ cosxe 6. 2 cos X =

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Q: (B) Solve the following differential equation: 3y cos 3x dx - sin3x dy = 0

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Q: (xy cos.xy +sin xy)dx +(x² cos.xy +e' )dy=0.

A: We have to solve given problem:

Q: 1 (ysin x + y?) dх — + cosx – 2xy) dy = 0 - \y²+1

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential…

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.