To solve the ordinary differential equation dy 3Y +5y2 = sinx, y(0) = 5 dx by Euler's method, you need to rewrite the equation as: Select one: dy sinx- 5y?, y(0)=5 a. dx O b. dy - 1 (sinx - 5y²). y(0) = 5 dy C. dx 1 sinx, y(0)= 5 O d. dx dy _ 1 -cosx- 5y3 - COSX - -), y(0) = 5 3 O e. None

Q: Write the standard form of the equation and the general form of the equation of the circle with…

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Q: (2xy + 3y²) dx – (2xy + x²) dy = 0 .. [VARIABLE SEPARABLE/HOMOGENEOUS |

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Q: For the line that has the equation X1 + 2X2 = 10, will pass through: %3D O (5,4) (10,1) O (2,4) O…

A: Given that  The equation of a line is x1+2x2=10 To find a point that will pass through the given…

Q: Solve D.E using bernouliis equation os(y)·y' + sin(y) =x

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Q: dy +xsin 2y = x cos² y. dx Solve the Bernoulli equation.

A: Given: y' + xsin2y = x3cos2y ⇒y' + 2xsinycosy = x3cos2y ⇒y'sec2y + 2xtany = x3 Now, let tany = v ⇒…

Q: a) Solve the differential equation UTM dy dr sin z y", y(7) = 0. UTMU UTMUTM UTM

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

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Q: Determine the order and degree of the differential equation: 2x dʻy/dx+5x²(dy/dx)³-xy=D0

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Q: Find the general solution for the differential equation 2x dx + coty (1+x²)dy = 0. %3D

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

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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Q: (군2-1) 을 + 2y3 (+ 1)°

A: Given ODE : (x2-1)dydx+2y=(x+1)2 ⇒dydx+2yx2-1=(x+1)2x2-1⇒dydx+2yx2-1=x+1x-1 Which Linear…

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.