Solve the system of differential equations x' 9x – 4y y' = 33x + 14y x(0) = 11, y(0) = – 30 = (?)x y(t) = %3D

Q: y' = (1-x)y²+(2x-1)y-x a special solution of the equation y1(x)=1, Find the general solution of the…

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Q: Solve x*y"- 2x(1+x)y'+2(1+x)y= x'

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Q: Solve 2y'' - 5y' - 25y = 0, y(0) = 0, y’(0) = = y(t) = - 37.5

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Q: Solve y" +5y' = (2x+1)e" -5x

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Q: Solve the differential equation for general solution dy = - dx V y = 14x + C O y = /14x + C, or y =…

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: y' = et ; y(0) = 2 find the general solution

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Q: y' = 3x²+y² xy ; given that y(1) = 1 ; solve for y when x = 2

A: The given equation is; y'=(3x2+y2)/xy, y(1)=1.

Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

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Q: Solve y'' − 4y' + 4y = 3e2t

A: Solve y'' − 4y' + 4y = 3e2t

Q: y2(1+(y')2)=x+y'y find the general solution to the equation.

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Q: Find the solution of the linear differential equation (x³ - 3)y' + x²y = 3x²

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Q: Solve: y' + 7y +9y' +9y=0 y(x)

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Q: (d) (1+y/2) = (y'')².

A: Given differential equation: 1+y'23=y''2 To find: The general solution

Q: 5. A differential equation is if it can be written in the form f(y)d(y) = g(x)d(x)-

A: A differential equation is ORDINARY if it can be  Written in the form f(y)dy = g(x) dx .

Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

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Q: y' = (4x + y)?

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Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

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Q: y' = 32 + y = 4.x – 4 It is known that the differential equation has a Y1 = a.x +b special solution…

A: Given that : y' =3yx+y2xRewriting the equation in the form of first seperable ODE,y' =3yx+y2x1yy+3y'…

Q: g your calculator. (b) {(1,98)+(2,01)4+1}¹/4

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Q: Q33. Solve the differential equation 5 (a) y³ = 5 (b) y³ = y3 + c« 1 x√x + ce 5 (c) y³ = √x + c« 5 5…

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Q: ydx+(2x1/2y1/2-x)dy=0  solution of differential equation

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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.