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Solve the following differential equations Use your calculator to draw a family of solutions Are there certain initial conditions that change the behavior of the solution
Separable Differential Equations Practice Find the general solution of each differential equation 1 dy dx x3 y2 2 dy dx 1 sec 2 y 3 dy dx 3e x y 4 dy dx 2x e2y For each problem find the particular solution of the differential equation that satisfies the initial condition 5 dy dx 2x y2 y 2 3 13 6 dy dx 2ex y y
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Separable Differential Equations Worksheet Worksheet
Separable Differential Equations Worksheet Worksheet
Determine a simplified expression for the equation of the curve SPX I 2 2 2 2 y 1 x 1 1 x 1 3 3 1 satisfies the differential equation y 2 dy 3 y dx 4ex By finding a suitable integrating factor solve the differential equation to show that 3 x 3 x y 3e 2e
AP Calculus AB Worksheet 95 Solving Differential Equations Separation of Variables Solve each differential equation by using separation of variables 1 dy xy2 dx 2 9 dy y dx 3 cos dy yx dx 4 2 dy x dx Use separation of variables to find the solution to the initial value problem Indicate the domain over which the solution is valid 5
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Equations Worksheet With Answers Equations Worksheets
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For each problem find the differential dy 1 y x3 2 2 y 3 x For each problem find the general formulas for dy and y 3 y x3 2 4 y 2 x For each problem find dy and y given x 0 and dx x You may use the provided graph of the function to sketch dx x dy and
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Separable Differential Equations Practice Find the general solution of each differential equation 1 dy dx x3 y2 2 dy dx 1 sec 2 y 3 dy dx 3e x y 4 dy dx 2x e2y For each problem find the particular solution of the differential equation that satisfies the initial condition 5 dy dx 2x y2 y 2 3 13 6 dy dx 2ex y y
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Separable Differential Equations Date Period Find the general solution of each differential equation 1 dy dx e x y 2 dy dx 1 sec 2 y 3 dy dx xey 4 dy dx 2x e2y 5 dy dx 2y 1 6 dy dx 2yx yx2 1
Separable Differential Equations Practice Find the general solution of each differential equation 1 dy dx x3 y2 2 dy dx 1 sec 2 y 3 dy dx 3e x y 4 dy dx 2x e2y For each problem find the particular solution of the differential equation that satisfies the initial condition 5 dy dx 2x y2 y 2 3 13 6 dy dx 2ex y y
Separable Differential Equations Date Period Find the general solution of each differential equation 1 dy dx e x y 2 dy dx 1 sec 2 y 3 dy dx xey 4 dy dx 2x e2y 5 dy dx 2y 1 6 dy dx 2yx yx2 1
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