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Access custom-built, exam-style problems for differential equations. Each problem has a full solution and mark-scheme, as well as AI grading and support.
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Consider the differential equation
where y(1)=0.
Use Euler's method with a step size of h=0.1 to approximate y(1.2).
Solve the differential equation using the substitution y=vx.
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The curve of y=f(x),x>0, satisfies the differential equation dxdy=1+x22x. It is given that f(1)=0.
Solve the differential equation to find f(x).
The graph of y=f(x) has an inflexion point at P.
Find the coordinates of P.
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Solve the differential equation dxdy=ysinx given that y=2 when x=0.
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