second-order equation to first order y''+y'+siny=0 solve for y'
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second-order equation to first order
y''+y'+siny=0
solve for y'
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- Determine dimension x to 3 decimal places.Find the differential equation of all parabolas whose axis are parallel to the x-axis and have latus rectum a. Form the differential equation of family of lines situated at a constant distance p from the origin.Find the differential equation characterizing the family of curves described Circles passing through origin and (4, 0)
- Obtain the differential equation of the family of plane curves described. 1. Straight lines with slope and x-intercept equal. 2. Straight lines at a fixed distance ? from the origin. 3. Parabolas with vertex on the x-axis, with axis parallel to the y-axis, and with distance from the focus to vertex fixed at ?.Find the differential equation (Eliminating Arbitrary Constant)(Family of Curves):Hyperbolas with vertical transverse axis whose centers lie on y-axis.Find the differential equation having the solution as equation representing all circles with centers at the origin
- Apply elimination of arbitrary constants to determine the differential equation for the family of circles whose centers are on x-axis.Obtain the differential equation of the family of curves as described. Draw some representative curves. 1) Parabola with vertex and focus on the y-axisObtain the differential equation of the family of curves as described. Draw some representative curves. 1. Parabolas with axis parallel to the x-axis
- Obtain the differential equation of the family of plane curves described. 1. Parabolas with vertex on the x-axis, with axis parallel to the y-axis, and with distance from the focus to vertex fixed as a.SOLVE FOR THE DIFFERENTIAL EQUATION OF THE GIVEN FAMILY OF CURVES.1. Circles with fixed radius “R” and tangent to x –axis.2. Parabolas with vertex and focus on the x – axis.Find the differential equations of the families of curves (Kindly insert the illustration if it can be applied) 3. Circles with center on y-axis