Create a direction field of following differential equation y' = 0.1t - 0.3y

Q: Create a direction field of following differential equation y' = 9.8 - 0.05x y' = 9.8 - 0.1y²

A: Given differential equations are:..We know that, a direction field of a differential equation is a…

Q: find the differentials of the first and second orders u=xyz

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Q: Match the appropriate slope field with the differential equation y'=+2. 事 B.

A: given differential equation y'=xy2+2 claim- to find the slope field of the given equation definition…

Q: y" - y = 4 cost y (0) = 0 y'(0) = 1

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Q: Identify whether the following differential equation is separable or linear. 2y x² +: Jax = (3–…

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Q: 2. Verify that y = -t cos t – t is a solution of the initial-value problem dy = y + t²sin t dt y(7)…

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Q: Obtain the differential equation associated with the family of curves below: y = A + Bx + Ce2x y" -…

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Q: Match the differential equation with its direction field. y' = 8(x + y) - 1 I -Q.31 +0,2 -0.1 0.1…

A: To find- Match the differential equation with its direction field. y' = 8x + y - 1 Give reasons for…

Q: The differential equation of the family of curves orthogonal to x² + y? = C² is

A: Solve the above questions.

Q: Sketch the solution curves for the differential equation y' = (y + 3) (y - 4)^2

A: Given: y'=y+3y-42 To find: Sketch the solution curves for the given differential equation.

Q: Find a homogeneous differential equation that is equivalent to the differen- tial equation 5t³y" +…

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Q: 1. Consider the differential equation 4 dt Sketch the direction field and several graphs of…

A: The given differential equation is: dydt=2-y2y2

Q: Match the differential equation with its slope field; justify your answers.

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Q: nce. For this model we will take the tion due to gravity to be -9.81 is is given by mass times e…

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Q: Form the differential equation Por the curve y= 2sin (x + 3)

A: The order of the differential equation is the highest derivative present in the equation. The…

Q: A slope field shows that the slope at the point (1, 1) is 6. Does this slope field represent the…

A: Given yr = 4x +2y

Q: Sketch the direction or slope field of the differential equation. Be sure to show any “trends" and…

A: Given differential equation is y'=x-2y+1                   (i) Direction field of the given eq. (i)…

Q: Give the order of the following differential equation (y')³ = y³ + y/"

A: To give the order of the following differential equation,

Q: Match the differential equation with its direction field. y' = 10 - y \ 20 0:34 // 0.2f Q,1 -Q.31…

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Q: plutions of differential equation ху" 1+ y2

A: Consider given differential equation put y” =t’ and y’ =t ⇒xt'=1+t2 ∫dt1+t2=∫dxx sinh-1t=logxc t…

Q: Match the differential equation with its slope field; justify your answers.

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Q: Match the differential equation with its direction field. y'- sin(10x) sin(10y) 20) -0.3 1-0.2 1…

A: Remark: We know that the slope field is a graphical representation of a differential equation. This…

Q: Sketch the direction field for the differential equation. Then use it to sketch a solution curve…

A: The given differential equation is: y'=5y+25xy. We have to sketch the direction field and then use…

Q: Match each slope field shown with its differential equation. Please explain/justify your answers. 1)…

A: Let us name the given slope fields as A, B, C, D, E and F. That is

Q: The population of a virus in a host can be modeled by the function W that satisfies the differential…

A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

Q: Sketch the slope field and some representative solution curves for the given differential equation.…

A: We are given the second order linear differential equation. y"=x+y. or  d2ydx2=x+y....(1) We need do…